Hint :-
The product of slopes of two perpendicular lines is -1 . The slope intercept form of the line is [tex] y = mx + c [/tex] .The point slope form of the line is [tex] m(x-x_1) = (y-y_1) [/tex]Solution :-
The given equation to us is ,
[tex]\implies x = \dfrac{-3}{4}y - 5 [/tex]
Convert it to slope intercept form we have ,
[tex]\implies 4x =-3y -20 \\\\\implies 3y = -4x -20 \\\\\implies y =\dfrac{-4}{3}x -\dfrac{20}{3}[/tex]
On comparing to the slope intercept form of the line we have ,
[tex]m = \dfrac{-4}{3}[/tex]As we know that the product of slopes of two perpendicular lines is-1 , henceforth ,
[tex] m_{perp}= \dfrac{3}{4}[/tex]Now using slope point form rewrite the equation of the perpendicular line ,
[tex]\implies y-y_1 = m(x-x_1) \\\\\implies y -6 = \dfrac{3}{4}(x+12)\\\\\implies 4y -24 = 3x + 36 \\\\\implies 3x -4y +36+24=0\\\\\implies \underline{\boxed{ \gray{3x -4y +60=0}}}[/tex]
if i sell 329 ham sandwiches this week how many ham sandwiches did i sell each day this week.
Answer:
you would have sold 47 ham sandwiches each day of the weed
Answer:
Your answer would be 47 ham sandwiches.
Step-by-step explanation:
It is very simple you would just do 329/7=47
4x(8+12) in english phrases
15 Which line passes through the point (1.-4)? A x + y = 5 B.X + y = 5 c.xy=5 D.x-y=.5
Answer:
Step-by-step explanation:
A x + y = 5 1 + -4 = -3 Nope
B.X + y = 5 1 + -4 = -3 Nope same as A unless X is somehow not equal to x,
C. xy = 5 1(-4) = -4 Nope and does not even qualify as a line.
D. x - y = .5 1 - (-4) = 5 Nope unless you have a typo adding an unwanted decimal point
Question:
Ten students each submit one essay for competition.
In how many ways can the first, second, and third prizes be awarded?
NEED FULL EXPLANATION!!!
NO LINKS!!!
PLEASE!!!!
what is happend here haha
Answer:
720 ways
Step-by-step explanation:
First place has 10 choices. First prize is chosen. So, 9 students are left.
Second place has 9 choices.
First and second prizes are chosen. Now 8 students are left
Third place has 8 choices.
Total ways = 10 * 9 * 8 = 720 ways
what is
-2 2/5 + (-1 3/4)
What is the area under f(x) if the function is a continuous probability density function?
Answer:
If X is a continuous random variable, the probability density function f(x), is used to draw the graph of the probability distribution. The total area under the graph of f(x) is one.
List the possible outcomes for the members in the table. You can do this by keeping the first number constant and cycling through the remaining five numbers for the second (for example, 0-1, 0-2, 0-3 and so on). Then change the first number and repeat the process with the remaining five numbers. A point to keep in mind is that when the first lot is picked, the second will have one less number (the one you have picked) to choose from. For this reason, sequences such as 0-0, 1-1, and 2-2 cannot exist.
Answer:
here yah go :b
Step-by-step explanation:
I need help with this please
Answer:
23 26 25
24 21 27
29 22 28
Step-by-step explanation:
23+25= 48
74-48= 26
This way find all the values.
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
Count the boxes each as 1.
Its easier to calculate on y axis.
f(x) intersected at -2g(x) intersected at 3.[tex]\\ \sf\longmapsto k=3-(-2)[/tex]
[tex]\\ \sf\longmapsto k=3+2[/tex]
[tex]\\ \sf\longmapsto k=5[/tex]
Answer:
• For g(x), consinder y-intercept (0, 3)
• For f(x), consinder point y-intercept (0, -2)
[tex] \hookrightarrow \: { \tt{g(x) = f(x) + k}}[/tex]
• substitute using coordinates above:
[tex]{ \tt{3 = - 2 + k}} \\ \\ { \tt{k = 3 + 2}} \\ \\ { \boxed{ \tt{ \: \: k = 5 \: \: }}}[/tex]
Express 17/5 as a mixed number, what is the answer?
Answer:
Step-by-step explanation:
3 2/5
Answer:
3 2/5
Step-by-step explanation:
The area of a bulletin board is 90 ft. The length is nine feet less than four times the width. Find the length and the width, in feet, of the bulletin board.
width
ft
length
ft
+
Prime Factors of 64 in index form
Answer:
2*2*2*2*2*2=64
Step-by-step explanation:
please mark brainiest hope it works out for you
******Please help me please help me help please help*****
Answer:
5 would be the dependent variable.
Step-by-step explanation:
5 would be the dependent variable because that is the number that is that depends on the others in the equation for it to be the final answer.
Answer:
180
Step-by-step explanation:
k = 72/2=36
y =kx
y =36(5)
y = 180
if max have six pies and six 6 apples and give 3 to his sis how many he got now
Answer: 9
Step-by-step explanation:
12-3=9
Answer:
If Max gave his sister apples, he would have six pies and 3 apples.
If Max gave his sister pies, he would have 3 pies and 6 apples
Step-by-step explanation:
6 - 3 = 3
if you remove 3 from 6 you have 3
write an equation in slope intercept form for the line with slope -1/5 and y intercept 8. then graph the line
Answer:
y = - 1/5x +8
Step-by-step explanation:
What common ratio would cause a geometric series to converge
Answer:0
Step-by-step explanation:
The sum of a convergent geometric series can be calculated with the formula a ⁄ 1 – r, where “a” is the first term in the series and “r” is the number getting raised to a power. A geometric series converges if the r-value (i.e. the number getting raised to a power) is between -1 and 1. So the answer is 0
What is the standard form for 10 to the power of -9
Answer:
is there any whole number or decimal
1) 2x11 =
I don’t know how to do this
Answer:
22, Twenty Two
Step-by-step explanation:
A good way to look at multiplying 11 is that the number, if it’s under 10, will then be two of that number. For instance, 4 x 11 = 44, 6 x 11 = 66, and so on and so forth.
Hope This Helped!
The equation P= 2L+2W is equivalent to
Answer:
This equation is equivalent to the formula for finding the perimeter of a rectangle
Evaluate.
-3+ (9+6) : (-3)
o 4
0-2
0 - 4
оо
1
2.
3
4
5
6
7
Answer:
-8
Step-by-step explanation:
brackets first division second and addition third
The correct solution of the expression -3 + (9+6) ÷ (-3) is,
⇒ - 7
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ -3 + (9 + 6) ÷ ( -3 )
Now, We can simplify the expression by using BODMAS rule as;
⇒ - 3 + (9 + 6) ÷ ( -3 )
⇒ - 3 + 12 ÷ (- 3)
⇒ - 3 - 4
⇒ - 7
Thus, The correct solution of the expression -3 + (9+6) ÷ (-3) is,
⇒ - 7
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
Please I have no clue
Question 1 A physician's “patient panel” is the list of all patients under their care. In the
US, the size of patient panels among primary care doctors is well modeled by a N(1500, 200)
distribution.
(a) If a "medium-sized” panel has anywhere from 1250 to 1750 patients, what proportion
of US primary care doctors have a patient panel that is NOT "medium-sized”?
(b) Find Q1,Q3 and the IQR of the patient panels of US primary care doctors.
Using the normal distribution, we have that:
a) The proportion of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.
b)
Q1 = 1365.
Q2 = 1635.
IQR = 270.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For this problem, N(1500, 200) means that [tex]\mu = 1500, \sigma = 200[/tex].
Item a:
The proportion that are medium-sized is the p-value of Z when X = 1750 subtracted by the p-value of Z when X = 1250, thus:
X = 1750:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1750 - 1500}{200}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
X = 1250:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1250 - 1500}{200}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a p-value of 0.1056.
0.8944 - 0.1056 = 0.7888 are medium.
1 - 0.7888 = 0.2112.
The proportion of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.
Item b:
Q1 is the first quartile, which is the 25th percentile, given by X when Z has a p-value of 0.25, so X when Z = -0.675. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 1500}{200}[/tex]
[tex]X - 1500 = -0.675(200)[/tex]
[tex]X = 1365[/tex]
Thus, Q1 = 1365.
Q3 is the third quartile, which is the 75th percentile, given by X when Z has a p-value of 0.75, so X when Z = 0.675. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 1500}{200}[/tex]
[tex]X - 1500 = 0.675(200)[/tex]
[tex]X = 1635[/tex]
Thus, Q3 = 1635.
The IQR is the difference between Q3 and Q1, that is:
[tex]IQR = Q3 - Q1 = 1635 - 1365 = 270[/tex]
Then, IQR = 270.
A similar problem is given at https://brainly.com/question/15953015
A charter fishing company buys a new boat for $224,000 and assumes that it will have a trade-in value of $115,200 after 16 years.
a. Find a linear model for the depreciated value V of the boat t years
after it was purchased.
b. What is the depreciated value of the boat after 10 years?
c. When will the depreciated value fall below $100,000?
d. Graph V for 0 ≤ t ≤ 30 and illustrate the answers from (b) and
(c) on the graph.
First, according to the information, we build a linear model, and then, the model is used to find the information asked.
a) The linear model is:
[tex]V(t) = 224000 - 6800t[/tex]
b) The depreciated value of the boat after 10 years is of $156,000.
c) The depreciated value falls below $100,000 after 18.24 years.
d) The sketch is given at the end of the answer.
Item a:
The initial value is of $224,000, thus, the y-intercept of the linear function is of [tex]b = 224000[/tex].The value decayed to $115,200 in 16 years, thus, the slope of the linear function is:[tex]m = \frac{115200 - 224000}{16} = -6800[/tex]
Then, the linear model is:
[tex]V(t) = 224000 - 6800t[/tex]
Item b:
The value after 10 years is V(10), so:
[tex]V(10) = 224000 - 6800(10) = 156000[/tex]
Then, the depreciated value of the boat after 10 years is of $156,000.
Item c:
This is t for which: V(t) = 100000. So
[tex]V(t) = 224000 - 6800t[/tex]
[tex]100000 = 224000 - 6800t[/tex]
[tex]6800t = 224000 - 100000[/tex]
[tex]6800t = 124000[/tex]
[tex]t = \frac{124000}{6800}[/tex]
[tex]t = 18.24[/tex]
The depreciated value falls below $100,000 after 18.24 years.
Item d:
The sketch is appended at the end of this answer.
A similar problem is given at https://brainly.com/question/24978772
1111111111111111111111111111111111111111111111freepoints
Answer:
thank youuuuuu
Step-by-step explanation:
Answer:
thank
Step-by-step explanation:
Identify the unit rate in the graph.
A. 40mph
B. 75mph
C. 50mph
D. 25mph
Answer:
The unit rate is C. 50mph
Step-by-step explanation:
Take two points from the line,
I took points (1, 50) and (2, 100).
Then plug them into this formula:
y2-y1/x2-x1
Solve:
(100- 50)/(2 - 1)
100 - 50 = 50
2 - 1 = 1
50/1 = 50
So, you get C. 50mph
Answer:
The answer would be C. 50mph
Step-by-step explanation:
Got right on USA test prep
Hope this helps
toni had 5 1/2 kilograms of sugar.how many cakes can he bake if he ise 1/4 hilogram of sugar per cake?
pls i need the answer
Answer:
22 cakes
Step-by-step explanation:
5 1/2kg = 11/2 = 22/4
22/4 is what you have in sugar while you only need 1/4 per cake, so you can make 22 cakes
Answer:
He can makec 22 cakes
Step-by-step explanation:
He use,
[tex] \frac{1}{4} kg = 1 \: \: cake \\ [/tex]
Let's find how many caked will he make from 5 1/2kg
Let the unknown number of cakes be x
[tex] \frac{1}{4} = 1 \\ 5 \frac{1}{2} = x[/tex]
[tex] \frac{1x}{4} = 5 \frac{1}{2} \\ \frac{1}{4} x = \frac{11}{2} [/tex]
Use cross multiplication
[tex]2 \times 1x = 11 \times 4 \\ 2 x= 44 \\ \frac{2x}{2} = \frac{44}{2} \\ x = 22[/tex]
Hope this helps you
Let me know if you have any other questions :-):-)
SOMEONE HELP ME AND EXPLAIN HOW ITS THE ANSWER PLZ!!!
Answer:
20 guests
Step-by-step explanation:
20 (20) + 400 = 400 + 400 = 800
10 (20) + 600 = 200 + 600 = 800
answer B = 20 guests
Answer:
For 20 persons the price would be same.
Step-by-step explanation:
y=y
20x+400=10x+600
20x-10x=600-400
10x=200
x=20
Therefore, for 20 persons the price would be same.
Sara started her homework at 5:30pm and finished it at 6:15pm.how much time did she take to finished her homework
Answer:
she took 45 mins on homework.
Answer:
45 min hope you get it right
what is the equivalent of 5y+9/8=y-1/4+4
Answer: the answer is 21/32 and it is equivalent to 0.65625.
Step-by-step explanation:
Nine times the sum of nine and a number is -25. What is the number
Answer:
9(9 + x) = -25
x = 6.22222 repeating
Step-by-step explanation:
First, we have to distribute. 9 times 9 = 81 and 9 times x = 9x. The equation now becomes 81 + 9x = -25.
Second, we have to get the coefficient alone. Since the opposite of positive 81 is negative 81, we subtract it to get 0. Since we did that to one side we have to do it to the other. -25 - (-81) = 56. Now we have 9x = 56.
Third, we have to get the variable by itself. To do that we divide 9 by 9 to get 0 and that gets the variable alone. Since we did that to one side we have to do it to the other. 56 divided by 9 = 6.222 with the 2 repeating over 8 times.
$153250 to the nearest 10000