What is the equation in slope-intercept form of the line that passes through the points (−12, −4) and (4, 8)?
A. y = −43 − 20
A. , y = −43 − 20
B. y = 43 − 12
B. , y = 43 − 12
C. y = −0.75 − 13
C. , y = −0.75 − 13
D. y = 0.75x +5
D. , y = 0.75x +5
Answer:
Choice D. [tex]y = 0.75\, x + 5[/tex].
Step-by-step explanation:
The general equation for the slope-intercept form of a line in a cartesian plane is [tex]y = m\, x + b[/tex], where:
[tex]m[/tex] is the slope of the line, and[tex]b[/tex] is the [tex]y[/tex]-intercept of the line. (The [tex]y\![/tex]-intercept of a line in a cartesian plane is the [tex]y\!\![/tex]-coordinate of the point where the line intersects the [tex]\! y \![/tex]-axis.)Start by finding the value of [tex]m[/tex]. The slope of a line is equal to its rise-over-run. For the two points in this question:
The "rise" is the [tex]y[/tex]-coordinate of the first point minus that of the second: [tex]\text{rise} = (-4) - 8 = -12[/tex].The "run" is the [tex]x[/tex]-coordinate of the first point minus that of the second. The order of these two points should stay the same: [tex]\text{run} = (-12) - 4 = -16[/tex].Calculate the slope of this line:
[tex]\displaystyle m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{-12}{-16} = 0.75[/tex].
The equation of the line becomes:
[tex]y = \underbrace{0.75}_{m}\, x + b[/tex].
Substitute the coordinates of either of the two points to find [tex]b[/tex]. For example, for the first point [tex](12, -4)[/tex], substitute in the following:
[tex]x = -12[/tex], and[tex]y = -4[/tex].The equation becomes:
[tex]-4 = 0.75 \times (-12) + b[/tex].
Solve for the value of [tex]b[/tex]:
[tex]b = 5[/tex].
Hence, the slope-intercept form of this line shall be:
[tex]y = 0.75\, x + 5[/tex].
A large hamburger (e.g., Whopper®) sandwich contains 628 kcal and 36 grams of fat. Approximately what percentage of the total energy is contributed by fat?
Answer:
Step-by-step explanation:
Total energy of the sandwich = 628kcal
Mass of fat contained = 36grams
Convert gram to kcal
1gram = 9kcal
36 grams = x
x = 36×9
x = 324kcal
Hence the fat contains 324kcal
%fat contained = fat(in kcal)/total calorie × 100%
%fat contained = 324/628 × 100%
%fat contained = 1/2 × 100%
%fat contained = 50%
Hence approximately 50% of the total energy is contributed by fat.
Can someone please help me with this question (there are more questions like this that I will post later, if your answer is correct I will give you brainliest)
Answer:
1. alterative exterior angles.
Step-by-step explanation:
I don't know what the rest of the other options are. So I can't answer the rest.
Read the blog entry below and answer the question that follows:
At first I dreaded going to sixth grade camp. I was sure the food would be poisonous, I would freeze to death in my sleeping bag, and the other kids in my cabin would never talk to me. But was I wrong! In fact, it was the best week ever! I went horseback riding and participated in a ropes activity with a zip line course. After the course, I climbed to the top of a pole using only ropes and carabiner clips, and then I rappelled off the top. I even made a new best friend. Oh, by the way, the food was delicious. It tasted better than my mom's! (But don't tell her.)
Review the first sentence:
At first I dreaded going to sixth grade camp.
What is the connotation showing here?
A The author was impatient and could not wait to get to camp.
B The author was worried he/she might not enjoy camp.
C The author welcomed the opportunity to go to camp.
D The author was excited about going to camp.
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,325 and a standard deviation of $270. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 50 one-bedroom apartments and finding the mean to be at least $2,245 per month
Answer:
0.982
Step-by-step explanation:
Given that:
Mean (μ) = 2325
Standard deviation (σ) = 270
From the central limit theorem ; the Distribution of 50 sample means will be normally distributed
Finding the mean to be at least $2245 per month;
x = 2245
Using the Z score relation :
Zscore = (x - μ) / (σ/√n)
Zscore = (2245 - 2325) / (270/√50)
Zscore = - 80 / 38.183766
ZSCORE = - 2.0951312
= - 2.1
P(Z > - 2.1) = 0.982 ( from the Z probability Calculator).
q(x)= -2x+1
r (x)=x²+2
Find the value of r r(q (2)).
Answer:
r(q(2)) = 11
Step-by-step explanation:
given r(x) = x^2 + 2, and q(x) = -2x + 1.
Here is the equation to the composite function:
r(q(x)) = (-2x+1)^2 + 2 = 4x^2-4x+3 .
Then just substitute the input and solve:
r(q(2)) = 4(2)^2- 4(2) + 3 = 16 - 8 + 3 = 16 - 5 = 11
______________________________
Or if you don't like this, first find the answer to q(2) = -2(2) + 1 = -3
Then substitute this value into the second equation r(x).
r(x) → r(-3) = (-3)^2 + 2 = 9 + 2 = 11
Solve 27* 9
I will give 100 points!!!!!!
27* 9 = 243 there your welcome and bless you
Another way to write -7/8
Answer:
In decimal form:
-0.875
Step-by-step explanation:
-7 divided by 8 = -0.875
If 1 foot 12 inches, which expression can be used to find the
number of inches in 6 feet?
Ao
1 foot
12 inches
x 6 feet
B
12 inches
1 foot
x 6 feet
c
0
12 inches
1 foot
o feel
ofeet
1 foot
12 inches
Х
6 feet
А
B
c
С
D
We
Using proportions, it is found that the expression that can be used to find the number of inches in 6 feet is given by:
6 feet = 6 x 12 inches = 72 inches.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the rule of three is given as follows:
1 foot - 12 inches.
6 feet - x inches.
Applying cross multiplication:
6 feet = 6 x 12 inches = 72 inches.
More can be learned about proportions at https://brainly.com/question/24372153
For f(x) = −2x + 12, find f(x) when x = −3.
Answer:
f(-3)= 18
Step-by-step explanation:
step 1: sub -3 in the equation f(x).
f(x)= -2x+12
f(-3)= -2×-3+12
step2: simplify to solve for f(-3).
=6+12
=18
600 students are studying in a private
school, the average monthly fee of a
student is Rs. 1200. How much amount for
tax does the school pay to the government
as education service tax at the rate of 1% in
a year? *
Answer:
600 ×1200=720,000
720,000×12=8,640,000
8,640,000×1%=8,640,000÷100%=86,400
86,400 per year
sub to astronaut gaming i have 27 or 28 subs if you need help finding i will help
The country of Honduras has a population of 8.2 million. There were 7,172 homicide deaths there in 2014.
Express the deaths per capita as a decimal rounded to 6 decimal places.
Express the deaths per capita in Scientific Notation.
Type your answer as though you were typing it into your calculator--either with "E" or "x10^" notation-- no spaces in your answer!
The United States has a population of about 320 million. If our homicide deaths were proportional to that of Honduras, how many deaths would we expect in the
Answer:
a)Express the death per capita as a decimal rounded to 6 decimal places
0.000875 death per capita
b) Express the death per capita in Scientific notation
8.75 × 10^-4 death per capita
c) 279883 deaths
Step-by-step explanation:
a) Express the death per capita as a decimal rounded to 6 decimal places
The formula for Death Per capita is given as
Number of deaths/ Total population
Measurement : 7172 homicide deaths
Total population : 8.2 millon= 8,200,000
Death per capita = 7172/8200000
Death per capita = 0.00087463414 death per capita.
Approximately to 6 decimal places
= 0.000875 death per capita.
b) Express the death per capita in Scientific notation
The death per capita = 0.000875
In Scientific notation = 8.75 × 10^-4 death per capita
c) The United States has a population of about 320 million. If our homicide deaths were proportional to that of Honduras, how many deaths would we expect in the United States due to homicides? Round to the nearest person.
Measurement : 7172 homicide deaths
Total population : 8.2 millon= 8,200,000
The United States has a population of about 320 million
Death per capita in Honduras : Death per capita in United States
7172/8200000 : x/320,000,000
7172/8,200,000 = x/320,000,000
Cross Multiply
7172 × 320,000,000 = 8,200,000 × x
x = 7172 × 320,000,000/8,200,000
x = 279882.926829 deaths
Approximately to the nearest person = 279883 deaths
equivalent fractions for 2 1/5 and 1 5/6 with common denominator 30
Answer:
[tex]\frac{66}{30} and \frac{55}{30}[/tex]
Step-by-step explanation:
Firstly, let's get the fractions out of mixed form.
2 1/5 = 11/5
(To do this, multiply 2 times 5 and add to the 1.)
1 5/6 = 11/6
(To do this, multiply 1 times 6 and add to the 5.)
Next, let's get the common denominator. When making a common denominator, keep in mind you must multiply/divide both the numerator and denominator.
[tex]\frac{11}{5} * \frac{6}{6} = \frac{66}{30}[/tex]
and
[tex]\frac{11}{6} * \frac{5}{5} = \frac{55}{30}[/tex]
D) 685
Titik koordinat yang manakah berada pada garis lurus Y=X +99
A) (2,13)
B) (4,11)
C) (3,12)
D) (5,10)
Answer:
A
Step-by-step explanation:
The points A, B, C, and D are plotted on a line, consecutively. AB = BC = CD = 6 cm. Find the distance between M and N, which are the midpoints of segments
AB
and
CD
, respectively. Fill in the blanks of the Statement/Reason solution.
Statement Reason
1. AM = BM = AB 2 =_____ cm 1. ____________________
2. CN = _____ = CD 2 = _____ cm 2. Def. of midpoint
3. MN = MB + ______ + CN 3. ____________________
4. MN = ________ cm 4. Algebra
Answer:
Step-by-step explanation:
If M is the midpoint of AB, then AM = MB
Also AM+MB = AB
MB+MB = AB
2MB = AB
2MB = 6
MB = 6/2
MB = 3 cm
Also
If M is the midpoint of CD, then CN = DN and CN+DN = CD
CN+CN= CD
2CN = CD
2CN = 6
CN = 6/2
CN = 3 cm
Note that MN = MB + BC + CN
Substitute the given data
MN = 3cm + 6cm+3cm
MN = 12cm
Therefore the distance between M and N is 12cm
The distance between of the AM = BM = AB/2 is 3 cm, NC = ND = DC is 3 cm, MN = MB + DC + NC, and MN is 6.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The points A, B, C, and D are plotted on a line, consecutively. AB = BC = DC = 6 cm. Find the distance between M and N, which are the midpoints of segments AB and DC, respectively.
Then we know
[tex]\rm AM = MB \\\\NC = ND[/tex]
Then we have
[tex]\begin{aligned} \rm AM + MB &= \rm AB\\\\ \rm AM+AM &=6 \\\\ \rm AM &= 3 \end{aligned}[/tex]
Similarly, we have
[tex]\begin{aligned} \rm NC + ND &= \rm DC\\\\ \rm NC+NC &=6 \\\\ \rm NC &= 3 \end{aligned}[/tex]
NC = ND = 3 cm
AM = MB = 3 cm
1. AM = BM = AB/2 = 3 cm.
2. NC = ND = DC = 3 cm.
3. MN = MB + DC + NC.
4. MN = MB + DC + NC = 3 + 6 + 3 = 12 cm.
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
Consider the experiment of selecting a playing card from a deck of 52 playing cards. Each card corresponds to a sample point with a 1 52 probability.
Required:
a. List the sample points in the event a jack is selected.
b. List the sample points in the event a club is selected.
c. List the sample points in the event a face card ( jack, queen, or king) is selected.
d. Find the probabilities associated with each of the events in parts (a), (b), and (c).
Answer:
Kindly check explanation
Step-by-step explanation:
A deck of card:
Number of hearts = 13
Diamond = 13
Spade = 13
Club = 13
Each of heart, club diamond and spade has is numbered from (2,3,4,5,6,7,8,9,10,Ace, queen, Jack, king)
Hence, a club, diamond, spade and heart has one of each of the above numbers.
a. List the sample points in the event a jack is selected.
Jack : ( heart, club, diamond, spade)
B.) club is selected :
Cub : (Ace, 2, 3,4,5,6,7,8,9,10,king,queen,jack)
C)
Jack : ( heart, club, diamond, spade)
Queen : (heart, club, diamond, spade)
King : (heart, club, diamond, spade)
D) probability = required outcome / Total possible outcomes
P(jack selected) = 4 /52 = 1/13
P(club selected). = 13/52 = 1/4
P(face card selected) = 12 / 52 = 3/13
Calculate the double integral. $$\iint_{R}{\color{red}4} xye^{x^{2}y}\hspace*{3pt}dA, \quad R = [0, 1] \times [0, {\color{red}7}] $$
Answer:
[tex]\mathbf{\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 (e^7 -8)}[/tex]
Step-by-step explanation:
Given that:
[tex]\int \int _R 4xye^{x^2 \ y} \ dA, R = [0,1]\times [0,7][/tex]
The rectangle R = [0,1] × [0,7]
R = { (x,y): x ∈ [0,1] and y ∈ [0,7] }
R = { (x,y): 0 ≤ x ≤ 1 and 0 ≤ x ≤ 7 }
[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0}\int^{1}_{0} 4xye^{x^2 \ y} \ dx dy[/tex]
[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \begin {bmatrix} ye^{yx^2} \dfrac{4}{2y} \end {bmatrix}^1 _ 0 \ dy[/tex]
[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \begin {bmatrix} ye^{y1^2} \dfrac{4}{2y} - ye^{y0^2} \dfrac{4}{2y} \end {bmatrix}\ dy[/tex]
[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \dfrac{4}{2}(e^y -1) \ dy[/tex]
[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \dfrac{4}{2}[e^y -1]^7_0 \ dy[/tex]
[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-(e^0 -0)][/tex]
[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-1][/tex]
[tex]\mathbf{\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 (e^7 -8)}[/tex]
An angle measures 50° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
115, 65
Step-by-step explanation:
Let x be an angle measurement
x-50 is the supplement
They add to 180
x + x-50 = 180
2x-50 = 180
Add 50 to each side
2x-50 + 50 =180+50
2x = 230
Divide by 2
2x/2 =230/2
x = 115
The measure are 115 and 115-50=65
• Number Sense Write an addition
sentence and a multiplication
sentence to solve this problem.
Jessie bought 4 packages of colorful
stones to put in the fish bowl. There
are 6 stones in each package. How
many stones did Jessie buy?
Answer:
addition sentence is 6+6+6+6=24
multiplication sentence is 6×4=24
Step-by-step explanation:
hope this helps
Janet and Jack are walking in a two-day event to raise money for charity. Janet asks a friend for a $7.50 donation, plus $0.10 for each mile she walks. Jack asks a friend for a $5.50 donation, plus $0.15 for each mile he walks. At how many miles of walking would Janet and Jack collect the same amount of money?
Answer:
Step-by-step explanation:
A. 40
B. 28
C. 44
D. 25
solve for x explain pls
7+3x+1=4x+5
Answer:
x = 3
Step-by-step explanation:
7 + 1 + 3x = 4x + 5
Subtract 5 from both sides and 3x from both sides.
8 + 3x = 4x + 5
3 = x
Use the remainder theorem to verify this statement. (x+5) is a factor of the function f(x)= x^3+3x^2-25x-75. Find the (blank) of f(x) and x+5. The (blank) of this operation is 0. Therefore, (x+5) is (blank) of function f. So f(blank) =0.
Blank choices:
1. product, sum, difference, or quotient
2. sum, discriminant, quotient, or remainder
3. the opposite, the simplified form, not a factor, a factor
4. -5, -75, 75, 5
Answer: I got this answer wrong but I go two right look at the step by step explanation
Hopefully that helped a little
Step-by-step explanation:
The expression (x + 5) is a factor of given function f(x) So the remainder of the function will be zero.
Remainder theorem:
The given function,
[tex]f(x) = x^3+3x^2-25x-75[/tex]
Equate (x + 5) is equal to 0.
x + 5 = 0
x = -5
Substitute x = -5 in given equation.
[tex]f(x) = x^3+3x^2-25x-75\\\\f(-5) = -5^3+3(-5)^2-25(-5)-75\\\\f(-5) = 0[/tex]
Since f(-5) = 0. thus, (x + 5) is a factor of given function f(x).
Learn more about the remainder theorem here:
https://brainly.com/question/1550437
#SPJ2
What digit is in ten thousands place 983,471?
7
The digit in ten thousandths place is 7 as it is the fourth digit to the right of decimal point.
Answer:
8
Step-by-step explanation:
9= one hundred thousands
8= ten thousands
3= one thousands
4= one hundreds
7= tens
1= ones
John earns $6 per hour washing dishes. How many hours must he work to make at least $150?
7. Make a box and whisker plot of the following data. Show your work as to how you calculated the different key points on the box-and-whisker plot.
21, 25, 30, 27, 22, 23, 23, 24, 26, 28, 25, 22, 23
Answer:
Oh boy this is a lot of work
Step-by-step explanation:
So 1st thing 1st, order the numbers from least to greatest. Then, find the median (which is the middle number). After that find the 1st Quartile and 2nd Quarile (you have to find the middle of the first half and the middle of the second half if it is two numbers, add them up and divide it by 2). Also, find the greatest and the least numbers. Then make the box and whisker plot. Since i can't make the full plot in brainly i will give you the steps to make it.
Make a number line. Label it from the least number which is 21 to the greatest number which is 30.Make a box from the 1st quartile which is from 33.5 to 39.5.Split the box on number 24.Make the whiskers which mean make a straight line from the left of the box to the least number which is 21 and make another straight line from the right of the box to the greatest number which is 30.That's all the step to make a box-and-whisker plot!Hope this helped.
-7x-2y=-13 x2y+11 for x
Answer:
The answer is the picture
Step-by-step explanation:
Select the correct answer. Which function has exactly three distinct real zeros? A. h(x) = (x − 9)2(x − 4)2 B. h(x) = x(x + 7)2 C. h(x) = (x − 3)(x + 1)(x + 3)(x + 8) D. h(x) = (x − 2)2(x + 4)(x − 1)
Answer:
if you have LOF it is explained very well in there. When I was doing that kind of problem that was so helpful. Hope you find the same.
Step-by-step explanation:
Answer:
attached.
Step-by-step explanation:
Find all the two-digit numbers that decrease 12 times when the last digit is crossed out.
Answer:
Step-by-step explanation:
what is the rate of change of y=7x+9