Answer:
y = [tex]\frac{1}{3}[/tex] x - 3 ⇒ 3rd answer
y = [tex]\frac{1}{3}[/tex] x + 7 ⇒ 4th answer
y = [tex]\frac{1}{3}[/tex] x + 3.63917 ⇒ 6th answer
y = [tex]\frac{1}{3}[/tex] x ⇒ 8th answer
Step-by-step explanation:
The product of the slopes of the perpendicular lines is -1
If the slope of a line is m, then the slope of the perpendicular line to it is [tex]-\frac{1}{m}[/tex]To find the slope of a perpendicular line to a given line reciprocal the slope of the given line and change its signThe form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept∵ The equation of the given line is y = -3x + 2
→ Compare it with the form of the equation above
∴ m = -3
→ To find the slope of the perpendicular line to it reciprocal it and
change its sign
∴ The slope of the perpendicular line to it is = [tex]\frac{1}{3}[/tex]
→ Choose all the equations that have m = [tex]\frac{1}{3}[/tex]
∴ y = [tex]\frac{1}{3}[/tex] x - 3 ⇒ 3rd answer
∴ y = [tex]\frac{1}{3}[/tex] x + 7 ⇒ 4th answer
∴ y = [tex]\frac{1}{3}[/tex] x + 3.63917 ⇒ 6th answer
∴ y = [tex]\frac{1}{3}[/tex] x ⇒ 8th answer
The probability of a basketball player making a free throw is 76%. In practice she shoots 10 free throws. What is the probability that he makes 7 free throws?
Answer:
Probability is 0.243
Step-by-step explanation:
Probability of success p = 76% = 76/100 = 0.76
Probability of failure q = 1 - p = 1-0.76 = 0.24
We can now proceed to use Bernoulli approximation of the Binomial theorem
We have
P( X = 7) = 10 C 7 p^7 q^3
P(X = 7) = 120 * 0.1465 * 0.013824
P(X = 7) = 0.242946203712
This is approximately 0.243
Answer:
0.243
Step-by-step explanation: if you stop to count step by step you will get your answer of 0.243
Directions: multiply the whole number and the numerator. Once you find the product divide that by the denominator. 64 divided by 3/8 answer as a mixed number
Answer:
24
Step-by-step explanation:
Given the direction required to solve the problem :
multiply the whole number and the numerator.
Once you find the product divide that by the denominator
Simplify :
64 divided by 3/8
Multiply 64 by the numerator of the fraction :
64 * 3 = 192
Divude the result by the denominator of the fraction :
192 / 8 = 24
Hence, 64 * 3/8 = 24
what is 4/3×6/5in fraction in simplest form
Answer:
8/5
Step-by-step explanation:
Find the equation of the exponential function represented by the table below:
Answer:
The equation of the exponential function represented by the table will be:
[tex]f(x)= 2(4)^{x}[/tex]
Step-by-step explanation:
We know the equation of exponential function such as
[tex]f(x) = ab^{x}[/tex]
Put x=0, and y=2 in the function
[tex]2 = ab^{0}[/tex]
[tex]2 = a[/tex]
Also x=1, and y=8 in the function
[tex]8 = 2b^{1}[/tex]
[tex]b=4[/tex]
Thus,
[tex]f(x) = ab^{x}[/tex]
[tex]= 2(4)^{x}[/tex]
Therefore, the equation of the exponential function represented by the table will be:
[tex]f(x)= 2(4)^{x}[/tex]
{(3, 2.1),(4,3.1), 5, 2.7), (5,4.1),(6, 5.1)} domain and range of this numbers
Answer:
domain: (3, 4, 5, 6)
range: (2.1, 2.7, 3.1, 4.1, 5.1)
Step-by-step explanation:
domain is the x value
range is the y value
you do not write the same number twice
write the domain and range in alphabetical order
ASAP NEED HELP!!!!
The company makes a single serving cereal box that contains 1.2 ounces of cereal. They plan to make an extra large box for school cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 4. How many ounces of cereal will the extra large box contain? Explain or show your reasoning.
Answer:
the answer should be 76.8 ounces
Step-by-step explanation:
The number of ounces of cereal will the extra-large box contains should be 76.8 ounces.
Calculation of the number of ounces:Since
The company makes a single serving cereal box that contains 1.2 ounces of cereal.
The extra-large box will be a dilation of the single-serving box using a scale factor of 4.
So, here the no of ounces should be
[tex]= 4\times 4\times \times 4 \times 1.2[/tex]
= 76.8 ounces
Learn more about ounces here: https://brainly.com/question/2656723
6x+18y+6z=24, -x-3y-2z=-4, 2x+6y+2z=8
Answer:
Please check the explanation below.
Step-by-step explanation:
Given the equations
[tex]6x+18y+6z=24,\:-x-3y-2z=-4,\:2x+6y+2z=8\:\:[/tex]
Steps to solve
[tex]\begin{bmatrix}6x+18y+6z=24\\ -x-3y-2z=-4\\ 2x+6y+2z=8\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}x=4-3y-z[/tex]
[tex]\begin{bmatrix}-\left(4-3y-z\right)-3y-2z=-4\\ 2\left(4-3y-z\right)+6y+2z=8\end{bmatrix}[/tex]
As
[tex]-\left(4-3y-z\right)-3y-2z=-4[/tex]
[tex]-z-4=-4[/tex]
and
[tex]2\left(4-3y-z\right)+6y+2z=8[/tex]
[tex]8=8[/tex]
so
[tex]\begin{bmatrix}-z-4=-4\\ 8=8\end{bmatrix}[/tex]
Isolating z for [tex]-z-4=-4[/tex]
[tex]-z-4=-4[/tex]
[tex]-z=0[/tex]
[tex]\frac{-z}{-1}=\frac{0}{-1}[/tex]
[tex]z=0[/tex]
[tex]\mathrm{For\:}x=4-3y-z[/tex]
[tex]\mathrm{Expressing\:}x\mathrm{\:in\:terms\:of\:}y[/tex]
[tex]x=4-3y-0[/tex]
[tex]x=-3y+4[/tex]
Therefore,
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=-3y+4,\:z=0[/tex]
(32x^5)/(48x^7) Could someone solve and explain this maybe?
What is the equation of the line
A fish swims 10 yards north and 15 yards east from the boat that just caught it and threw it back. How many yards is the fish from the boat?
Answer:
18.0277563773 yards
Step-by-step explanation:
Pythagorean Theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]10^{2}[/tex] + [tex]15^{2}[/tex] = [tex]c^{2}[/tex]
100 + 225 = [tex]c^{2}[/tex]
325 = [tex]c^{2}[/tex]
[tex]\sqrt{325}[/tex] = [tex]\sqrt{c^{2} }[/tex]
8.0277563773 = c
Help please i have to do this for attendance
Answer:
The actual answer is C
Step-by-step explanation:
82 added to a number is the same as 36
20 points
82=36
t+82=36
82+36=x
None of the above
Answer:
(b) t+82=36
Step-by-step explanation:
When 82 is added to a number the resulting number is the same as 36.
Let t be the number in which 82 is added.
After addition the resulting number = t+82
As the resulting number is the same as 36, so,
t+82 = 36
Hence option (b) is correct.
4/7 divided by 2 1/3
Answer:
[tex]\frac{12}{49}[/tex]
Step-by-step explanation:
[tex]\frac{4}{7}[/tex] ÷ 2 [tex]\frac{1}{3}[/tex]
First, change 2 [tex]\frac{1}{3}[/tex] into an improper fraction. It will make the solving process a lot easier.
2 [tex]\frac{1}{3}[/tex] = [tex]\frac{7}{3}[/tex]
So:
[tex]\frac{4}{7}[/tex] ÷ [tex]\frac{7}{3}[/tex]
Now solve by multiplying the reciprocal of [tex]\frac{7}{3}[/tex] which is [tex]\frac{3}{7}[/tex]
So:
[tex]\frac{4}{7}[/tex] × [tex]\frac{3}{7}[/tex] = [tex]\frac{12}{49}[/tex]
The value of 4/7 divided by 2 1/3 as requested in the task content is; 12/49.
What is the value of the expression?According to the task content, the value of the expression is required.
4/7 ÷ 2 1/3
By fraction conversion, we have;
4/7 ÷ 7/3
= 4/7 × 3/7
= 12/49.
Read more on division;
https://brainly.com/question/1622425
#SPJ2
Tell whether x and y are in a proportional relationship. Explain
your reasoning.
The quality control manager at a factory records the number of equipment breakdown each day . Let the random variable Y represent the number of breakdowns in one day. Does standard deviation of why is 0.28. Which of the following is the best interpretation of the standard variable
Answer:
On average, the number of breakdowns per day varies from the mean by about 0.28.
Step-by-step explanation:
Brianna is crocheting a scarf as a birthday present for her sister. She started the scarf yesterday and needs to finish it today before her sister's birthday party.
This table shows the relationship between the amount of time (in minutes) Brianna spends crocheting today, x, and the total length of the scarf (in inches), y.
x (minutes) y (inches)
10 19
50 23
60 24
80 26
According to the values in the table, do x and y have a proportional relationship?
9514 1404 393
Answer:
no, the relationship is not proportional
Step-by-step explanation:
The table says Brianna crocheted 19 inches in 10 minutes. If the relation were proportional, Brianna would have crocheted 5×19 = 95 inches in 5×10 = 50 minutes. Her actual length is only 23 inches, so length is not proportional to time.
I need help with finding the answers for number 4 and 5
PLEASE HELP DUE TODAY 20 POINTS!!!
Answer:
13/12
Step-by-step explanation:
X + 1 > 8
whats the answer
Answer:
x can = anywhere from 8 to infinite because x has to be greater than 8 at least
Step-by-step explanation:
A foreign country uses the stellar as its currency. Before a trip to that country, Jon wants to exchange $1,200 to stellars. Which of Bank A and Bank B has the better exchange rate? How many more stellars would he get if he exchanged his $1,200 at the better exchange rate instead of at the other rate?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the conversion rate for both banks is not given.
However, I'll make the following assumptions.
Bank A: $80 for 392 stellars
Bank B: $50 for 240 stellars
Solving (a) Bank with better conversion rate.
First, we need to calculate the unit rate.
Unit Rate = Dollar/Stellar
For Bank A:
Unit Rate = 392/80
Unit Rate = 4.9 Stellars to $1
For Bank B:
Unit Rate = 240/50
Unit Rate = 4.8 Stellars to $1
The bank with higher unit rate has a better exchange rate.
Hence, bank A has a better exchange rate.
Solving (b): How much more will he get if $1200 is exchanged
For Bank A:
$1 = 4.9 Stellars
Multiply both sides by 1200
$1 * 1200 = 4.9 * 1200 Stellars
$1200 = 5880 Stellars
For Bank B:
$1 = 4.8 Stellars
Multiply both sides by 1200
1200 * $1 = 4.8 * 1200 Stellars
$1200 = 5760 Stellars
Calculate their difference
Difference = 5880 - 5760
Difference = 120 Stellars
Hence, he'll get 120 more Stellars if he exchanged with bank A.
what's thee error and the solution
Answer:
They subtracted by 4 not divided (And you spelled the wrong) and answer is
x = 5
Step-by-step explanation:
Answer: the error is the 2nd step. the solution is 5
Step-by-step explanation:
4x-3=17
+3 +3
4x/4 = 20/4
x=5
hope that helps!!!:):)
PLEASE HELP I WILL GIVE 5 STARS AND HEART I NEED HELP WITH THESE QUESTIONS!!
Answer:
A relation is...
A set of points that pair input values with output values.
Is the following graph a function?
Yes
Step-by-step explanation:
Hope this helps and have a great day :)find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E
Answer:
The number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
Step-by-step explanation:
We need to find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E.
There are 9 letters in the word WONDERFUL
There is a condition that letter R is always next to E.
So, We have two letters fixed WONDFUL (ER)
We will apply Permutations to find ways of arrangements.
The 7 letters (WONDFUL) can be arranged in ways : ⁷P₇ = 7! = 5040 ways
The 2 letters (ER) can be arranged in ways: ²P₂ =2! = 2 ways
The number of ways 'WONDERFUL' can be arranged is: (5040*2) = 10,080 ways
So, the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
What are the zeros for the polynomial, y = 9 (x – 5) (z? – 16) (2 – 7)select all that apply.
5
4
-4
7
9
1
Answer:
hm
Step-by-step explanation:
m
who said 17 38? it will help
PLEASE HELP ME ASAP. If you can help me please help me out.
Answer:
Step-by-step explanation:
to ez its =12
Help please need answer soon
Answer:
c
Step-by-step explanation:
(x+25)(3+2x)-(x+4)(x+1)
=(3x+2x²+75+50x)-(x²+4x+x+4)
=(2x²+53x+75)-(x²+5x+4)
=2x²+53x+75-x²-5x-4
=x²+48x+71
Please help if you can!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.
Answer:
4/3 is that correct if not msg me and I’ll help you with the next problem
Step-by-step explanation:
Answer:
slope is 3/4
Step-by-step explanation:
rise over run
your father pushed a 2-kg box across the floor with a net horizontal force of 10 n. what is the acceleration of the box
Answer:
5 m/s^2
Step-by-step explanation:
Force = mass x acceleration
f = ma
We have the force of 10 N and the mass of 2 kg.
10 N = 2 kg a
divide by 2 on both sides to isolate the a
a = 5 m/s^2
Answer:
[tex]\boxed {\boxed {\sf a= 5 \ m/s^2}}[/tex]
Step-by-step explanation:
The formula for force is:
[tex]F=m*a[/tex]
If we rearrange the formula for acceleration (a) and divide both sides by m we get:
[tex]\frac{F}{m}=a[/tex]
The net force is 10 Newtons. Let's convert the units to make the problem easier later on.
1 Newton=1 kg*m/s²The net force of 10 Newtons is equal to 10 kg*m/s²The mass is 2 kilograms.
[tex]F=10 \ kg*m/s^2\\m= 2 \ kg[/tex]
Substitute the values into the formula.
[tex]\frac{10 \ kg*m/s^2}{2 \ kg} =a[/tex]
Divide. Note the kilograms (kg) will cancel each other out (this is why we converted the units)
[tex]\frac{10 \ m/s^2}{2}=a[/tex]
[tex]5 \ m/s^2=a[/tex]
The acceleration of the box is 5 meters per second squared.
Can someone help me with this? (asap)
Answer:
so cant help
Step-by-step explanation:
Answer:
43˚
Step-by-step explanation:
As you may know, a triangle angle should always add up to 180˚ so 68˚ and 69˚ added together is 137˚ subtract that by 180 and you will get 43 which is the answer
Hope this helps!