Answer:
y = -80x + 410
Step-by-step explanation:
(1,330) is the first point, the other point is (4,90)
m = y2 - y1/x2 - x1
m = 90 - 330/4 - 1
m = -240/3
m = -80/1
m = -80
y - y1 = m(x - x1)
y - 330 = -80(x - 1)
y - 330 = -80x + 80
y = -80x + 80 + 330
y = -80x + 410
1) What is the difference between a number and its positive square root is 12. Find the number
2) One of the diagonals of a rectangle is 20cm long. If the difference between its length and width is 4cm, find the area of the rectangle
Answer:
algebra
Step-by-step explanation:
using algebra form an equation than solve for the variable keep in mind u have to square it
please help
isolate x in
x+3y=1
7. In the figure, P, Q and R points on level ground in a park. R is 600 m from Q and on a bearing of 305° from Q. Q is 950 m from P and on a bearing of 078° from P
Im having trouble with finding the distance. a
Answer:
The answer is below
Step-by-step explanation:
From the image:
∠P + ∠Q = 180° (consecutive angles are supplementary)
78 + ∠Q = 180
∠Q = 180 - 78
∠Q = 102°
∠RQN = 360° - 305° =(sum of angle in a point)
∠RQN = 55°
∠RQN + ∠RQP = 102°
∠RQP = 102 - 55 = 47°
a) Let PR = x
Using cosine rule:
[tex]x^2=600^2+950^2-2(900)(600)cos(47)\\\\x^2=485021.9\\\\x=\sqrt{485021.9} \\\\x=696 \ m[/tex]
Therefore PR = 696 m
b) Let ∠RPQ be A°
Using sine rule:
[tex]\frac{sin(A)}{600} =\frac{sin(47)}{696} \\\\sin(A)=\frac{sin(47)}{696} *600\\\\sin(A)=0.6304\\\\A=sin^{-1}(0.6304)\\\\A=39^0[/tex]
∠RPQ = 39°
Hence the bearing of R from P = ∠NPR = 78° - 39° = 39°
An escape room company has found that their nightly revenue (in dollars)
can be modeled by the function R(c) = -0.6c2 + 54c + 100
where c represents the cost of admission.
15) What cost of admission will maximize nightly revenue?
A)
$45.00
C)
$90.00
B)
$54.00
D)
$100.00
Answer:
B) 54.00
Step-by-step explanation:
In ΔOPQ, o = 4.4 inches, p = 9.6 inches and ∠Q=89°. Find the length of q, to the nearest 10th of an inch.
Answer: 10.49026 = 10.5
Step-by-step explanation:
The length of the side q of the triangle OPQ is 10.5 inches.
What is cosine law?The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.
Given that, in a triangle OPQ, O = 4.4 inches, p = 9.6 inches and ∠Q=89°, we need to find the measurement of side q,
So, using cosine law for triangles,
q² = p²+o²-2poCos(89°)
= 4.4²+9.6²-2(4.4)(9.6)Cos(89°)
= 10.5
Hence, the length of the side q of the triangle OPQ is 10.5 inches.
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The Thomas' backyard pool is
rectangular in shape and is
similar to the rectangle formed
by their fenced backyard. The
backyard measures 12 feet long
and 9 feet wide. If the width of
the pool is 6 feet wide, what is
the length of the pool?
Answer: 8 feet
Step-by-step explanation:
Help please! I really need it now the question is in the screen shot!
Answer:
A would be the answer
Step-by-step explanation:
8 is the x coordinate and 6 is the Y coordinate
Answer:
The answer is A
Step-by-step explanation:
The point is exactly on 8 and 6, x comes first
Kara's family is thinking about renting an SUV that can travel 6 2/3 miles on 1/6 gallon of gas. Kara wants to know the gas mileage of the SUV.
Answer: 40
Step-by-step explanation:
Find the reciprocal of the divisor
1/6: 6/1
Multiple it with the dividend
20/3 divided by 1/6= 20/3 x 6/1
20x6 = 120
3x1 = 3
Reduce the fraction: 40/1
A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?
Answer:
0.25
Step-by-step explanation:
Ffcffgffffggggvgfcgcvggfvv
Answer:
Husfivhuisfhvkusdhvkufadhvkudshfukdahf
Step-by-step explanation:
ASAP!!! please help! thanks.
Answer:
I think A is the right answer
Write an expression for the sequence of operations described below.
double the quotient of 6 and k
Answer:
blue
Step-by-step explanation:
What equation could be written for this table?
Answer:
y = 3 + 1/2 * x
Step-by-step explanation:
James and Kris are in the school play. James has 42 lines to memorize, which is 6 times
as many as Kris. Which equation shows how to find out how many lines Kris has?
Answer:
6k=42
Either one ill still answer the equation
Step-by-step explanation:
Let K = Kris
42=6k
A hospital employs a total of 77 nurses and doctors. The ration if nurses to doctors is 9:2. How many nurses are employed at the hospital? How many doctors are employed at the hospital?
Answer: 63 nurses and 14 doctors
so you know the ratio is 9:2. that means for every 9 nurses there are 2 doctors. i didn't make an equation but i counted it.
if theres 9 (9*1) nurses theres 2 (2*1) doctors
if theres 18 (9*2) nurses theres 4 (2*2) doctors
if theres 27 (9*3) nurses theres 6 (2*3) doctors
you get the point so i multiplied 7 to 9 and 7 to 2, which means:
if theres 63 (9*7) nurses theres 14 (2*7) doctors
i hope this helps :)
Can anybody please help me with this question please
Step-by-step explanation:
The Missing side using Pythagorean theorem
=√(19)²+(38)²
=√361+1444
=√1805=19√5
=42.485≈42.49( to the nearest hundredth)
Missing angle
=let the angle be x
tan(x)=19/38
x=tan^-1(½)=26.565
x=26.57(to the nearest hundredth)
It takes a word processor 26 minutes to word process and spell check 6 pages. Find how long it takes her to word process and spell check 27 pages. It takes the word processor minutes
Answer:
It takes the word processor 117 minutes to word process and spell check 27 pages.
Step-by-step explanation:
With the information provided, you can use a rule of three to find how long it would take to word process and spell check 27 pages given that it takes 26 minutes to word process and spell check 6 pages:
6 pages → 26 minutes
27 pages → x
x=(27*26)/6=117 minutes
According to this, the answer is that it takes the word processor 117 minutes to word process and spell check 27 pages.
A metal plate is 8.431 centimeters wide. Which is this measure written in word form?
Answer:
Eight and one hundred thirty-four thousandths
Step-by-step explanation:
Thats how u write it in word form! i hope this helped :)
The required word form of the measure 8.431 centimeters wide is eight and one hundred thirty-four thousandths centimeters wide.
What is a unit of measurement?Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.
Here,
The required number is 8.431, which can be written in word form as,
8.431 = Eight and one hundred thirty-four thousandths centimeters wide
Thus, the required word form of the measure 8.431 centimeters wide is eight and one hundred thirty-four thousandths centimeters wide.
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Each year malcom earns 120 hrs of vaction time at his job there 52 weeks in year what is the appromate number of hours of vaction time malcome earns in week
Answer:
2.3 hours
Step-by-step explanation:
✓In Each year; malcom earns total of 120 hrs of vaction
✓But we are given that 52 weeks = 1 year
✓The number of hours of vaction time malcome earns in week= (120 hrs/52 weeks)
= 2.3 hours
Answer asapppp pllssss
Answer:
|1|, |-2|, |7|, |12|.
Step-by-step explanation:
I'm assuming this is absolute value.
Which inequality is NOT satisfied by this table of values
Answer:
Hope this helps better
Answer; y < x-1
Step-by-step explanation:
Mrs. Apple noticed that, in her algebra class of thirty-two students, eight were
left-handed. What is the ratio of left-handed to right-handed students?
Hi I need help please 10 points for answering questions 3 and 4 correctly please it’s due tomorrow
Answer:
3. 150% 4. 8.3%
Step-by-step explanation:
Percent error formula is the difference between the actual and estimated divided by actual times 100.
3. (5-2) / 2 x 100= 150%
4. (24-22)/ 24 x 100 = 8.3%
Solve the system of linear equations by substitution
y-x=0
2x-5y=9
Answer:
the answer is (-3,-3)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Which statement is true of an appropriate sample of a population? A sample must be a group of people who are the target of the survey question. A sample should have different characteristics than the population. O Asample must be very small. A sample should include only boys or only girls. THE ANSWER IS A
Answer:
The answer is A simple must be a group of people who are the target of the survey question
Step-by-step explanation:
Find all real numbers z for which the equation (z-5)x^2-zx+5=0 only has one real solution. If you find more than one, then list the values separated by commas.
Step-by-step explanation:
For the quadratic equation to have 1 repeated real solution, the discriminant b² - 4ac must be zero.
=> (-z)² - 4(z - 5)(5) = 0
=> z² - 20(z - 5) = 0
=> z² - 20z + 100 = 0
=> (z - 10)² = 0
Therefore z = 10.
1.
A jar contains n nickels and d dimes worth a total of $30. Which equation models this
information?
A. 0.05n +0.10 = 30
B. 5n + 10d = 30
C. 0.50 +0.10 = 30
D. n + d = 30
The required equation model is n + d = 30 which represents a jar containing n nickels and d dimes worth a total of $30. which is the correct answer would be an option (D).
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
We have been given that a jar contains n nickels and d dimes worth a total of $30.
To determine the equation model that represents the given information.
As per the given information, the algebraic form is:
quantity of nickels + quantity of dimes = total worth
n + d = 30
Thus, the required equation model is n + d = 30 which represents a jar containing n nickels and d dimes worth a total of $30.
Hence, the correct answer would be option (D).
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in the spring temperatures rise on average 6 degrees every 5 days. at that rate how many degrees would the temperature have risen after 30 days
Answer:
Ok, this is pretty simple. So, if it rises 6 degrees every five days, then we have to figure out how many "five days" are in 30 days. It would be 6! So now all we have to do is multiply. 6 times 6 equals 36 degrees.
The answer is 36 degrees.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
If it rises 6 degrees every 5 days, we just need to figure out how many 5 days are in 30 days. When you solve, you'll get 6. Now we can just multiply 6 x 6 = 36. Hope this helped, please mark brainliest if it did
10. (02.03)
Find the solution of 3 to the square root of x+6=-12 , and determine if it is an extraneous solution. (1 point)
x= -3; extraneous
x = -3; not extraneous
x= 10; extraneous
x= 10; not extraneous
Answer:
x= 10; extraneous
Step-by-step explanation:
Given the expression:
3√x+6 = -12
We are to find the value of x
Divide both sides by 3
3√x+6/3 = -12/3
√x+6 = -4
Square both sides
(√x+6)² = (-4)²
x + 6 = 16
x = 16-6
x = 10
Hence the solution is x =10 and it is extraneous solution
What is the domain of the function? {(-3,-9), (7,9), (9, 1), (7,3)} Colleen wrote her answer as (-3,7,7,9) and she got it marked WRONG! What did she do wrong?
Answer: added
Step-by-step explanation: