Answer:
y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{13}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x + 1 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{4} }[/tex] = - [tex]\frac{4}{3}[/tex] , thus
y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 5, 11) into the partial equation
11 = [tex]\frac{20}{3}[/tex] + c ⇒ c = 11 - [tex]\frac{20}{3}[/tex] = [tex]\frac{13}{3}[/tex]
y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{13}{3}[/tex] ← equation of perpendicular line
The equation of the line that passes through (-5, 11) and perpendicular to y = (3/4)x + 1 is
y = -2x + 1
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
y = (2/4)x + 1 is in the form of y = m(2)x + c
So,
m(2) = 2/4 = 1/2
The equation of the line y = m(1)x + c is perpendicular to y = (2/4)x + 1.
So,
m(1) x m(2) = -1
m(1) = -1/(1/2)
m(1) = -2
Now,
y = -2x + c passes through (-5, 11).
This means,
11 = -2 x (-5) + c
11 = 10 + c
11- 10 = c
c = 1
Thus,
The equation of the line is y = -2x + 1.
Learn more about equation of a line here:
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Solve for d.
4d - 4 = 5d – 8
d =
Answer:
Step-by-step explanation:
-d - 4 = -8
-d = -4
d = 4
Answer:
d= 4
Step-by-step explanation:
4d - 4 = 5d – 8
Subtract 4d from each side
4d-4d - 4 = 5d-4d – 8
-4 = d-8
Add 8 to each side
-4+8 = d-8+8
4 =d
Write the event as set of outcomes. When we roll two dice, the total showing is eight.
A. {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}
B. {(2, 6), (3, 5), (4, 4)}
C. {(2, 6), (3, 5), (5, 3), (6, 2)}
D. {(1, 7), (2, 6), (3, 5), (4, 4), (5, 3), (6, 2), (7, 1)}
Explanation:
We simply list each possible choice in the form (x,y) where x is the result of the first die and y is the result of the second die.
The sum must be 8 so x+y = 8.
Choice A is the complete list showing all possible sums of 8.
Choice B is missing (5,3) and (6,2).
Choice C is missing (4,4)
Choice D shows (1,7), but 7 isn't a valid roll of a six-sided die.
Which number line best shows how to solve −8 − (−2)? A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 2. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to 2. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 6. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to 6.
Answer:
A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 6
Step-by-step explanation:
A number line is a straight line with numbers placed at equal intervals. Positive numbers are placed to the right of 0 and negative numbers are placed to the left of zero.
When a number (x) is added x unit is moved to the right while if a number (x) is subtracted x units is moved to the left.
To solve -8 - (-2) = -8 + 2
Given a A number line from negative 10 to 10 with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8 then since 2 is added, we move 2 units right from negative 8 to negative 6.
Answer:
C (3rd option)
Step-by-step explanation:
simplified the top one
Temperature can be measured in two different common units: degrees Celsius and degrees Fahrenheit. fff represents the temperature in degrees Fahrenheit as a function of the temperature ccc in degrees Celsius. f=32+1.8cf=32+1.8cf, equals, 32, plus, 1, point, 8, c Water freezes at 000 degrees Celsius. What is the freezing temperature of water in degrees Fahrenheit?
Answer:
Water freezes at 32 °F.
Kia was 200 m north of the Liebrary when he remembered he had to return some books to the library it took him to 200 seconds to do the round-trip which best describes cost round-trip
Answer:
His speed is 2 m/s
His velocity is 0 m/s
Step-by-step explanation:
I'll assume the question is
Kia was 200 m north of the Library when he remembered he had to return some books to the library it took him to 200 seconds to do the round-trip which best describes hist round-trip.
Kia's distance from the Library is 200 m
the round-trip took him 200 s
The total distance for the round trip = 200 x 2 = 400 m
His displacement for the round trip = 0 m (since he returns to his original position)
His speed = distance/time = 400/200 = 2 m/s
His velocity = displacement/time = 0/200 = 0 m/s
Diagram shows helicopter H flying towards an island P
When the helicopter is 100 m above sea level, the pilot sees a man fishing from boat Q. Given the angles of depression of the island P and boat Q from H are 22° and 61.5° respectively.
Calculate the distance, in M, of PQ
Please help me to explain :(
Answer:
193.21 m
Step-by-step explanation:
make a vertical line down from the helicopter that is 100m
tan 61.5 = 100/x x = 54.3 (distance from the point directly below helicopter to boat)
tan 22 = 100/x x = 247.51 (distance from the point directly below helicopter to the island
247.51 - 54.3 = 193.21 (distance from boat to island)
PLZ HELP !!!! Only do B) and C)
First frame is for b and second frame is for c
Jared ate1/4 of a loaf of bread. He cut the rest of the loaf
into1/8-loaf slices. How many slices of bread did he cut?
Answer:
He cut 6 slices
3/4 (leftover bread) equals to six eights (6/8)
Figure A is a scale image of Figure B. What is the value of x?
Answer:
x=30
Step-by-step explanation:
to find the value of x you have to find K(constant number).
[tex]\frac{x}{45}=\frac{18}{27}\\\frac{x}{45}=\frac{2}{3}\\ 3(x)=45*2\\3x=90\\x=\frac{90}{3}\\ x=30[/tex]
Answer:
The value of x is 30
Step-by-step explanation:
Step 1: Find the scale factor
[tex]\frac{FA}{F B} =\frac{45}{27}[/tex]
Step 2: Use the scale factor to solve for x
[tex]\frac{45}{27} =\frac{x}{18}[/tex]
[tex](45)(18) = 27x[/tex]
[tex]810 = 27x[/tex]
[tex]x = 30[/tex]
Therefore x = 30
Evaluate the function below at x=5. Then, enter your solution. f(x)=3(2)^x
Answer:
Solution: f(5) = 96
Step-by-step explanation:
f(5) = 3(2)^5
f(5) = 3 (2 × 2 × 2 × 2 × 2)
f(5) = 3 (32)
f(5) = 96
Solve for x 1/4(32x-16)=6x
Answer:
ohfofhodhodhodohyororoyroyriydiydigdigdyidiydiydiydoyfofororoyforoydoyoydiyriyiriy
Please help! I’ve tried every site and nothing has helped
The answer is 11.8
Answer:
11.8%
Step-by-step explanation:
Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.
Let p = probability of success = 30% = 30/100 = 0.3
q = probability of failure = 1-p = 1-0.3 = 0.7
Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.
That would be;
P(X = 0) = 6C0 p^0 q^6
6C0 is pronounced six combination zero
= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649
This is approximately 0.1176
If we convert this to percentage we have 11.76%
But we want our answer rounded to the nearest tenth of a percent and that is 11.8%
Question 20 of 33
What is the surface area of the sphere shown below with a radius of 7?
1.72
A. 495 sq. units
B. 65x sq, units
C. 457 sq. units
D. 1965 sq. units
SERNAT
Answer:
The surface area of the sphere 1s 615.75 sq. unit.
Step-by-step explanation:
The surface area of a sphere [tex]A_s[/tex] = 4·π·r²
Given that the radius of the sphere = 7, we have
The surface area of the sphere = 4 × π × 7^2 = 615.75 sq. unit
The surface area can also be derived from the volume of the sphere by differentiation as follows;
Volume of a sphere, V = 4/3·π·r³
(The volume of the sphere is 4/3·π·7³ = 1436.76 cube unit)
dV/dr = d(4/3·π·r³)/dr = 3×4/3·π·r² = 4·π·r²
The surface area of the sphere = 615.75 sq. unit.
Diego and Max are buying soft drinks for a neighborhood picnic. Each person is
expected to drink one can of soda. Diego says that if you multiply the unit price for a
can of soda by the number of people attending the picnic, you will be able to
determine the total cost of the soda. Max says that if you divide the cost of a 12-
pack of soda by the number of sodas, you will determine the total cost of the sodas.
Which choices best illustrates who is correct and why?
Max is incorrect because he calculated the cost of one can of soda
Diego is incorrect because he calculated the price of one can of soda
Max is correct because the total cost divided by the number of sodas gives you
the total cost of the sodas
Answer:
D. Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.
Step-by-step explanation:
Each person is
expected to drink one can of soda.
Let p=price of each soda
q=number of people in the picnic
Total cost of soda=price of each soda × Total people attending the picnic
Total cost of soda=p×q
Diego says that if you multiply the unit price for a can of soda by the number of people attending the picnic, you will be able to
determine the total cost of the soda.
Max says that if you divide the cost of a 12-pack of soda by the number of sodas, you will determine the total cost of the sodas
A. Max is incorrect because he calculated the cost of one can of soda
B. Diego is incorrect because he calculated the price of one can of soda
C. Max is correct because the total cost divided by the number of sodas gives you the total cost of the sodas
D. Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.
Evaluate the following expression for x = 1 and y = -3.
3yºx+x-y
Answer:
8
Step-by-step explanation:
yº (in words, 'y to the power zero') is simply 1. We then have
3yºx+x-y = 3(1) + 2x - y = 3 + 2x - y.
Substituting 1 for x and -3 for y, we get the expression value:
3 + 2 - (-3) = 8
Help ASAP ASAP!!! if 3,p,q,24 are the consecutive terms of an exponential, find the values of p and q.
Step-by-step explanation:
According to Geometric Progression :
[tex]a(nth) = a1 \times {r}^{n - 1} [/tex]
a(nth) = nth term of the G.P.
a(nth) = nth term of the G.P. a1 = 1st term of G.P.
a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ratio
a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ration = terms in the G.P.
Now,
[tex]24 = 3 \times {r}^{4 - 1} [/tex]
[tex]r = 2[/tex]
The G.P. Is 3, 6, 12, 24.
Thus, p = 6 and q = 12
Which of the following is an example of how a scientist might use a model?
A wrench is used to tighten a nut onto a piece of wood.
A microscope is used to magnify a group of cells on a slide.
The end of a slinky is moved vertically up and down to simulate a wave.
A stopwatch is used to time the rate of a chemical reaction.
Answer:
C
Step-by-step explanation:
The end of a slinky is moved vertically up and down to simulate a wave.
PLEASE HELP ME I WILL GIVE 5 STARS TO THE FIRST ONE WHO GETS THIS RIGHT !
Answer:
Option 1 and option 4
Step-by-step explanation:
The inverse of 12^2 is the √12 so option 4 is correct. 12^1/2 also equals √12 so option 1 is also correct.
Answer:
12 [tex]\frac{2}{1}[/tex]
Step-by-step explanation:
Is there any video related to this or can you explain how to do it
Angles ECD and CEF add to 180
40+140 = 180
So that means we have EF parallel to CD (due to the same side interior angle theorem)
--------------
Angles BCE and ECD combine to 30+40 = 70, which is congruent to angle ABC = 70 as well.
In other words, this shows angle ABC = angle BCD. Both of these angles are alternate interior angles. Since they're congruent, they lead to AB being parallel to CD.
--------------
So far we have
AB || CD
CD || EF
Using the transitive property, we can then link the two statements to say AB || EF. Think of a chain where CD is the common link. We go from AB to CD, then from CD to EF. So we can just take a single path from AB to EF.
It's like saying "P --> Q and Q --> R, therefore P --> R"
Please please please please help
Answer:
m = 9
Step-by-step explanation:
8/12 = 6/m
8m = 72
m = 9
A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeter per day. a. Write a rule to describe the function. b. After how many days will the zucchini plant be 18.5 centimeters tall?
Answer:The number of days it will grow to be 18.5 cm tall is 17 days.
Step-by-step explanation:
To find how many days it will grow until it reaches 18.5 centimeters, first find the difference of the new height by the old height.
So= 18.5-10= 8.5cm
8.5 is the centimeters it needs to grow to be 18.5 cm tall.
Then, divide it by the number of centimeters it will grow in one day, which is 0.5, to find the days it grew 8.5 cm.
So= 8.5÷0.5= 17
I hope this helps! Ask me if you're confused.
I need help again please
Answer:
multiply 3 by 18
Step-by-step explanation:
1 page
-------------
3 minutes
Multiply the top and bottom by 18 to get to 18 pages
1*18 page
-------------
3*18 minutes
18 pages
---------------
54 minutes
Answer:
multiply 3 by 18
Step-by-step explanation:
rate = number of pages / time
rate = 1 page/3 min = 1/3 page/minute
pages = rate * time
time = pages / rate
time = 18 pages / (1/3 page/minute)
time = 18 * 3 minutes
Answer: multiply 3 by 18
he greatest common factor of each term in the expression 60 a b minus 72 b is 12b. Which choice shows the expression written as a product?
Answer:
Hey there!
60ab-72b
12b(5a-6)
The GCF is 12b.
Let me know if this helps :)
Answer:
b
Step-by-step explanation:
An important factor in selling a residential property is the number of people who look through the home. A sample of 17 homes recently sold in the Buffalo, New York, area revealed the mean number looking through each home was 19 and the standard deviation of the sample was 4 people.
Develop a 98 percent confidence interval for the population mean. (Round your answers to 2 decimal places.)
Confidence interval for the population mean is between and ?
Answer:
Confidence interval for the population mean is between 15 homes and 19 homes
Step-by-step explanation:
Given that:
Sample (n) = 17 homes, mean (μ) = 19 homes, standard deviation (σ)= 4 people and confidence (C) = 98% = 0.98
α = 1 - C = 1 - 0.98 = 0.02
α/2 = 0.02/2 = 0.01.
The z score of 0.01 (α/2) corresponds to the z score of 0.49 (0.5 - 0.01) which from the normal distribution table is 2.33
The margin of error (E) is:
[tex]E=z_{0.01}*\frac{\sigma}{\sqrt{n} } =2.33*\frac{4}{\sqrt{19} }=2[/tex]
The confidence interval = μ ± E = 17 ± 2 = (15, 19)
Confidence interval for the population mean is between 15 homes and 19 homes
PLEASE help me with this question! This is really urgent! No nonsense answers please, and answer with full solutions!
Answer:0.80
Step-by-step explanation:please i don't really know how to explain this i am very sorry
It takes a copy machine 6 minutes to complete a job. How many minutes are left on a job if 2/3 of the job is now complete?
2/3 of the job was completed in 4 minutes. the job left will be completed in 2 minutes
Examine the graph. What is the domain and range of the function represented by the graph? Select two answers: one for the domain and one for the range.
domain: (−∞,∞)
range: [−9,∞)
domain: (−2,4)
range: (−∞,∞)
range: (−2,4)
domain: [−9,∞)
domain: (−∞,∞)
range: [−9,∞)
=========================================
Explanation:
The graph extends forever to the left and right. This means any x value can be plugged into the function to get some y value output. The domain is the set of all real numbers in which we write (−∞,∞) when using interval notation. This is the interval from negative infinity to positive infinity. We exclude both endpoints as we cannot reach infinity.
The smallest y value possible is y = -9 as shown by the vertex point (1, -9) being the lowest point on the parabola. The range is the set of y values such that [tex]y \ge -9[/tex] so we say [−9,∞) in interval notation. This is the interval from -9 to infinity. The square bracket says to include -9 as part of the interval.
Answer: It is A, I did this question many times before.
(−∞,∞)
Step-by-step explanation:
The pepper plant has 2/3 as many fruits on it as the tomato plant has. The tomato plant has 9 fruits on it. How many fruits does the pepper plant have on it?
Answer:
The pepper plant has 15 fruits on it.
Step-by-step explanation:
Let the tomato plant have x plants. Let the pepper plant have y plants. Since the pepper plant has 2/3 more fruits on it than the tomato plant, we have that y - x = 2x/3
collecting like terms,
y = 2x/3 + x
The above is the number of plants the pepper plant has.
y = 2x/3 + x
y = (2x + 3x)/3
y = 5x/3
Since x = number of fruits on tomato plant = 9, then
y = 5x/3
y = 5(9)/3
y = 5 × 3
y = 15
Since y = number of fruits on pepper plant = 15
So, the pepper plant has 15 fruits on it.
Which of the following images shows a scale copy of the trapezoid using a scale factor of 1/2
PLEASE HELP
Answer:
1
Step-by-step explanation:
split the shape to triangle and a rectangle
the rectangle at the original trapezoid has 2 squares in width and 3 squares for height multiply those numbers by 1/2 you will get 1 square for width and 1.5 squares for the height which is showen in option 1
-5^2 find the power
Answer:
-25
Step-by-step explanation:
Answer:
Hey there!
When we have a^b, b is the power.
Thus, in -5^2, 2 is the power.
Let me know if this helps, or if you need more help :)
