Answer:
d. y= 5x+18
Step-by-step explanation:
y=mx+b is slope intercept form
Now we plug in the information given to us which is slope(m) is 5 and a point (x,y) which is (2,28).
So by substituting we get 28=5(2)+b
simplify to 28=10+b and when we subtract 10 from both sides to isolate 'b', we get that b = 18.
So now we use the values of slope(m) and the y-intercept(b) to write the equation:
y=5x+18
Hey there! I'm happy to help!
Slope-intercept form is a way to write the equation of a line, and it is very useful. It is y=mx+b. This equation shows how y is related to x on a line. The m represents the slope, which is the incline of the line. The b represents the y-intercept, or where the line hits the y-axis.
If you find any value for x and plug it into the equation, you will figure out what y-value it matches on the line. If you had the equation you could draw the line by plugging in x-values and plotting points and connecting the dots!
Anyways, we have a slope of 5. This means that so far our equation looks like y=5x+b. It does not tell us what the y-intercept is, so we need to figure it out!
If we have the values for m, x, and b, we can solve for y. Well, we don't have b, but we do have values for y, x, and m, so we should be able to solve for b!
We will plug in our point (2,28) and solve for b!
28=5(2)+b
28=10+b
b=18
Our y-intercept is 18.
So, we can write this equation in slope-intercept form for the line that follows the condition of slope 5 and passing through (2,28) below.
y=5x+18
Therefore, our answer is d. 5x+18.
Now you can find the equation of a line given the slope and a point! Have a wonderful day! :D
which equation is correct?
arccsc(x)=1/cos(x)
Answer:
arccsc(x)=1/cos(x)
Step-by-step explanation:
Answer:
the answer to your question is D
Step-by-step explanation:
A line passes through the point (2,-5) and is perpendicular to the line with the
equation y= 1/5x+ 5. What's the equation of the line?
OA) y = -1/5X + 1
B) y = -5x + 5
OC) y = 5x - 2
D) y=1/5x+4
slope = -5, y intercept = 5
===========================================
Explanation:
The given equation has slope 1/5. We can see that by comparing it to y = mx+b, with m as the slope.
Flip the fraction and the sign to go from 1/5 to -5/1 = -5. The perpendicular slope is -5. We can stop here since only choice B has such a slope.
---------------
If you're curious about finding the y intercept, then you would use m = -5 along with (x,y) = (2,-5) to find the value of b
y = mx+b
-5 = -5(2)+b
-5 = -10+b
-5+10 = -10+b+10 ... adding 10 to both sides
5 = b
b = 5 is the y intercept
So we have y = mx+b update to y = -5x+5 as the perpendicular line.
Answer:
[tex]y = - 5x + 5[/tex]
Step-by-step explanation:
[tex]y = \frac{1}{5} x + 5 \\ m = \frac{1}{5} \\ m1 = \frac{ - 1}{m2} [/tex]
.
[tex] \frac{1}{5} = \frac{ - 1}{m2 } \\ m2 = - 5 \\ x = 2 \: y = - 5 \\[/tex]
[tex] y = mx + c \\ - 5 = - 5(2) + c \\ - 5 = - 10 + c \\ - 5 + 10 = c[/tex]
[tex]c = 5 \\ m = - 5 \\ y = mx + c \\ y = - 5x + 5[/tex]
SOMEONE PLEASE HELP A GIRL OUT BRAINLIEST! The diameters of Breaburn apples are normally distributed with a mean of 8.2cm and a standard deviation of 2.8cm. If you had a shipment of 2000 apples, how many apples would have a diameter: a) smaller than 5.9cm? b) larger than 10.2cm?
Answer:
a. 0.2061*2000 apples = 412.20 or about 412 apples.
b. 0.2389*2000 apples = 477.8 or about 478 apples.
Step-by-step explanation:
We have to find the corresponding probabilities using the standard normal table (or also we can use statistics software for doing this).
The parameters for this normal distribution are (without using units):
The mean, [tex] \\ \mu = 8.2[/tex].
The standard deviation, [tex] \\ \sigma=2.8[/tex]
We need to use z-scores, given by:
[tex] \\ z = \frac{x-\mu}{\sigma}[/tex]
For a diameter smaller than 5.9cm, we have:
[tex] \\ z = \frac{5.9-8.2}{2.8}[/tex]
The value for z:
[tex] \\ z = -0.82142 \approx -0.82[/tex]
Then, find the cumulative probability for this z, P(z<-0.82), using the standard normal table (for this, use -0.8 (in right column), and -0.02 in the first row of the table).
Then, P(z<-0.82) = 0.2061
How many apples would have a diameter: a) smaller than 5.9cm?
The answer is 0.2061*2000 apples = 412.20 or about 412 apples.
How many apples would have a diameter: b) larger than 10.2cm?
We can proceed similarly as before. Calculate z, find the cumulative probability using the standard normal table.
[tex] \\ z = \frac{10.2-8.2}{2.8}[/tex]
[tex] \\ z = 0.71428 \approx 0.71[/tex]
Then, P(z<0.71) = 0.7611
But we are asked for P(z>0.71), then (because of the symmetry of the normal distribution):
P(z>0.71) = 1 - P(z<0.71)
P(z>0.71) = 1 - 0.7611
P(z>0.71) = 0.2389
The answer is 0.2389*2000 apples = 477.8 or about 478 apples.
Which statement could be an interpretation of the graph’s x-intercept or y-intercept?
On a coordinate plane, a line goes through points (0, 4) and (8, 0).
Tabitha took 6 hours to drive to her friend’s house.
Matthew used 12 gallons of gas in all.
Rosa will pay off her loan in the eighth month.
Eight members of Hoi's family were each charged $4 to go to a movie.
Answer:
1. Consider the x-axis to represent months to pay off the loan, and the y-axis to represent $ owed.
2. the ordered pair (8,0) would show that at 8 months there is no more money owed.
Step-by-step explanation:
Select the decimal that is greater than 1/3 and smaller than 1/2. A 0.299 B 0.300 c. 0.415 d 0.501
Answer:
C, 0.415
Step-by-step explanation:
Convert the fractions to decimals:
1/3 = 0.3333333...
1/2 = 0.5
So the decimal must be greater than 0.3333333... and smaller than 0.5,
from the options,
only 0.415 matches with the requirements.
Answer:
c.415
Step-by-step explanation:
1/3 = 0.333333...
1=2 = 0.5
Therefore the "c option - 0.415" as it is greater than 1/3 and lesser than 1/2
Hope ths helps....
Pls mark my ans as brainliest :)
PLS PLS PLS
I want to rank up....
Dat y pls mark my ans as brainliiest :)
24 ÷ [ 33- (1+2)^2] = ?
21 + 3 (2-2^2) = ?
[(14+[tex]\sqrt 4[/tex])÷2^3] - 14 = ?
20 + [18÷(4+1)] - (3^2 + 2) = ?
please simplify the expressions using the proper order of operations.
Answer:
Below in bold.
Step-by-step explanation:
24 ÷ [ 33- (1+2)^2]
= 24 / ( 33 - 3^2)
= 24 / 24 = 1.
21 + 3 (2-2^2)
= 21 + 3(2 - 4)
= 21 + 3 * -2
= 21 - 6
= 15.
[(14+√4)÷2^3] - 14
= [ (14 + 2) / 8] - 14
= 16/8 - 14
= 2 - 14
= -12.
20 + [18÷(4+1)] - (3^2 + 2)
= 20 + [18÷ 5] - (9 + 2)
= 20 + 3.6 - 11
= 23.6 - 11
= 12.6.
The ratio of the measures of the angles of a triangle is 3:2:1. Given that the shortest side of the triangle is 12 meters long, what is the number of meters in the longest side of the triangle?
Answer:
36 i think
Step-by-step explanation:
Answer:
14?
Step-by-step explanation:
ASAP!! can someone help solve any of these? whoever answers the most gets brainliest, i underlined the questions
Answer:
can u please type out the photo is too dark to see the questions
Step-by-step explanation:
The temperature at noon is -4 degrees Celsius. The temperature at 6:00 is -12 degrees Celsius. What is the difference between the noon and the 6:00 pm temperatures?
Answer:
-8 degrees
Step-by-step explanation:
12-4 is 8 so the difference is -8
Emily has driven 600 miles so far on her way to the beach. If her total trip will be 850 miles‚ about what percentage of the drive does she have left to complete? a) 15% b) 29% c) 40% d) 73%
Answer:
B) 29%
Step-by-step explanation:
First, we subtract 600 from 850 to get the distance she has left. 850 - 600 = 250. Next, we take 250 and divide it by 850 to get the decimal which is 0.294117647. We can round this answer to 0.29 and convert this answer to a percentage which is 29%.
Answer:
B. 29%
Step-by-step explanation:
Percentages can be found by dividing the part by the whole, then multiplying by 100.
(part/whole) * 100
We have to find the percentage of the drive she has left.
Therefore, the part is the miles she has left and the whole is the total trip.
(miles left/total trip) * 100
First, we need to find how many miles she has left. We must subtract the miles she has driven from the total trip.
total - miles driven
She has 850 total miles and has driven 600 miles.
850-600
250
She has 250 miles left.
Now we know the miles she has left.
(miles left/total trip) * 100
miles left = 250
total trip= 850
(250/850) * 100
Solve inside the parentheses first. Divide 250 by 800.
(0.29411765)*100
Multiply
29.411765
Round to the nearest whole number. The 4 in the tenth place tells us to leave the whole number as is.
29
Therefore, she has about 29% of her trip left.
A man has 3 different suits, 4 different shirts and 5 different pairs of shoes. In how many different ways can this man wear a suit, a shirt and a pair of shoes? 35 12 60 17
Answer:
60 ways
Step-by-step explanation:
Multiply the number of suits, shirts and shoes to find the number of ways
3 * 4 * 5
60 ways
Answer:
60
Step-by-step explanation:
(4 x 3) 5
A chess player moves a knight from the location (3, 2) to (5, 1) on a chessboard. If the bottom-left square is labeled (1, 1), the translation made is (options, 2 squares up and 1 square right, 1 square down and 2 squares left, 1 square down and 2 squares right or 2 squares down and 1 square right) If the player moves the knight from (5, 1) to (6, 3), the translation made is (options, 1 square up and 1 square right. 2 squares up and 1 square right, 4 squares up and 2 squares right or 2 squares up and 1 square left)
Answer:
1. one square down two squares right
2. two squares up one square right
Answer:
one square down two squares right
Step-by-step explanation:
.
Which of the following best describes the relationship between (x-3) and the
polynomial x3 + 4x2 + 2?
Answer:
c. (x-3) is not a factor.
Step-by-step explanation:
The perimeter of a rectangle is 38 inches. If the length is 3 inches more than the width, find the width.
Answer:
8 inches
Step-by-step explanation:
For this the length is 11 inches, and when u subtract 3 from that you get 8. 11×2 is 22, 8×2 is 16
22+16=38
Answer:
8 inches
Step-by-step explanation:
P = 2w + 2l
l = w + 3
38 = 2w + 2(w + 3)
38 = 2w + 2w + 6
38 - 6 = 4w
4w = 32
w = 32 : 4
w = 8 inches
please help on this question I will mark you as brainlist
Answer:
7, 10, 15, 22, .... 106
3, 12, 27, 48, .... 300
Step-by-step explanation:
Plug n as 1, 2, 3, 4, and 10 to find the terms.
(a)
1² + 6
1 + 6 = 7
2² + 6
4 + 6 = 10
3² + 6
9 + 6 = 15
4² + 6
16 + 6 = 22
10² + 6
100 + 6 = 106
(b)
3(1)²
3(1) = 3
3(2)²
3(4) = 12
3(3)²
3(9) = 27
3(4)²
3(16) = 48
3(10)²
3(100) = 300
Answer:
a) n²+6
U1 = 1²+6 = 1+6=7
U2= 2²+6 = 4+6 = 10
U3= 3³+6= 9+6= 15
U4= 4²+6= 16+6 = 22
U10= 10²+6 = 100+6= 106
So= 7, 10, 15, 22,... 106
b) 3n²
U1= 3(1)²= 3(1)= 3
U2= 3(2)²= 3(4) = 12
U3= 3(3)²= 3(9)= 27
U4= 3(4)²= 3(16)= 48
U10= 3(10)²= 3(100)= 300
So= 3, 12, 27, 48,..., 300
What is the area of this figure?
13 mi
5 mi
8 mi
6 mi
3 mi
7 mi
square miles
Answer:
86 square miles
Step-by-step explanation:
To answer this question you have to separate the shape into smaller ones. In this case, you can separate the shape into one larger rectangle on top and one smaller rectangle on bottom.
Area of large rectangle on top:
13 miles x 5 miles = 65 square miles
Area of smaller rectangle on bottom:
3 miles x 7 miles = 21 square miles
65 + 21 = 86 square miles
Answer:
The answer is 86 square miles
Step-by-step explanation:
First of all you can seperate this shape into shapes that you already know how to solve. Then the rest is easy...You can see how I solved it in more detail by looking at the image below. I hoped it was helpful!
A principal of $4900 is invested at 4.75% interest, compounded annually. How much will the investment be worth after 7 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
The investment will be worth $8,674 after 7 years.
brainliest?
Solve the system of equations using substitution. Write your answer as an ordered triple in the form (x, y, z).
X+ y + z = 2
4x + 5y + z = 12
2x = -4
Answer:
(x, y, z) = (-2, 4, 0)
Step-by-step explanation:
Solving the last equation first, we have ...
2x = -4
x = -2 . . . . . divide by 2
__
Putting this in the first equation, we can write an expression for z:
-2 +y +z = 2
z = 4 -y . . . . . . . add 2-y
__
Putting this in the second equation, we have ...
4(-2) +5y +(4 -y) = 12
-4 +4y = 12
-1 + y = 3 . . . . . divide by 4
y = 4 . . . . . . . . add 1
__
Substituting this into the equation for z, we have ...
z = 4 - 4 = 0
The solution is (x, y, z) = (-2, 4, 0).
Answer:
X+y+z=2 equation 1
4x + 5y + z = 12 equation 2
2x = -4 equation 3
Step-by-step explanation:
step 1 :
from equation 3 : 2x = -4
x= -4/2 = -2
step 2:
sub value x = -2 in equation 1
y + z = 4 _______ equation 4
step 3:
sub value of x in equation 3
5y + z = 20 _________ equation 4
solve equation 3 and 4
y + z = 4
5y + z = 20 sign change
__(-)_________
-4y = -16
__________
y = 4
substitute x = -2 & y = 4 in equation 1
z = 0
Hence x = -2 , y = 4 & z = 0
WILL MARK BRAINLIEST! Which of the following is a discrete random variable? a) length of time you play in a baseball game b) length of a car c) volume of water in a tank d) number of candies in a box
Answer:
d.which is number of candle's in a box
Answer:
number of candies in a box
Step-by-step explanation:
10 Points! Help is aprreciated!! :)
Answer:
A
Step-by-step explanation:
Since the the value is greater than 1, f(x),g(x), and h(x) are exponential functions.
The table represents the multiplication of two binomials. A geometric model with 2 columns and 2 rows. The first column is labeled negative 2 x with entries A, C. The second column is labeled 3 with entries B, D. The first row is labeled 4 x with entries A, B. The second row is labeled 1 with entries C, D. Which letters from the table represent like terms? A and B B and C A and D B and D
Answer:
B and C
Step-by-step explanation:
Like terms are terms with the same constellation of variables. The like terms in this product are (12x) and (-2x). The cells containing those are designated B and C.
Answer:
B and C
Step-by-step explanation:
(CORRECT ANSWER GETS BRAINLIEST) Drag each object to show whether distance is proportional to time in the situation represented.
Answer:
a horse running around a race track and
a person running down a field to score a touchdown
DONT HAVE ENOUGH INFORMATION
the two graphs are proportional to time and
a dog jumping at a constant speed for 20min and
a truck passing through 4 cities at a constant speed are not proportional to time because they are constant
Step-by-step explanation:
Please help will mark brainly
Answer:
$3.50
Step-by-step explanation:
23.6÷4=5.90 5.90-2.40=3.50
Answer:
$3.50
Step-by-step explanation:
cost of beads - $2.40
cost of pendant - x
2.40(4) + 4x = $23.60
9.60 + 4x = $23.60
4x = $14
x = $3.50
Each pendant costs $3.50.
Hope this helps.
The volume of a soup can with height of 6 cm and diameter of 4.4 cm = ____________ cm3. Use 3.14 for pi.
Answer:
about 91.2 cm³
Step-by-step explanation:
Radius (r) = diameter / 2 = 4.4 / 2 = 2.2
Volume of cylinder = πr²h, we know π = 3.14, r = 2.2 and h = 6
V = 3.14 * 2.2² * 6 = 91.2
Answer:
91.2
Step-by-step explanation:
To find the volume you need to use the formula [tex]\pi r^2h[/tex]
When you substitute all of the numbers the answer will be 91.1856
The senior class at High School A and High School B is planning seperate trips to the local museum. The senior class at High School A rented and filled 13 vans and 1 bus with 184 students. High School B rented and filled 10 vans and 10 buses with 520 students. Every van and every bus had the same number of students in it. How many students can a van carry? How many students can a bus carry?
Based on my answer, each van can carry students and each bus can carry students
Answer:
Number of students van can carry = 11
Number of students bus can carry = 41
Step-by-step explanation:
Given the following :
HIGH SCHOOL A:
Number of students = 184
Number of vans(v) = 13
Number of buses(b) = 1
Mathematically,
13v + 1b = 184 - - - - (1)
HIGH SCHOOL B:
Number of students = 520
Number of vans(v) = 10
Number of buses(b) = 10
Mathematically,
10v + 10b = 520 - - - - (2)
Multiply (1) by 10 and (2) by 1
130v + 10b = 1840 - - - (3)
10v + 10b = 520 - - - (4)
Subtract (4) from (3)
120v = 1320
v = 11
Substitute v = 11 into (1)
13(11) + 1b = 184
143 + b = 184
b = 184 - 143
b = 41
Number of students van can carry = 11
Number of students bus can carry = 41
10. The easily accessible part of an emergency fund is
O cash
O credit cards
O savings
O CDs
Answer:Si está tratando de ahorrar dinero a través de un presupuesto pero todavía acarrea una deuda grande, comience por la deuda. ¿No está convencido? Sume cuánto gasta por mes en la manutención de la deuda y rápidamente se dará cuenta. Una vez que esté libre de pagar intereses sobre su deuda, ese dinero puede ahorrarse fácilmente. Una línea de crédito personal es solo una opción para consolidar la deuda, para poder cancelarla mejor.
Step-by-step explanation:
Answer: A. Cash
Cash is the most liquid, meaning that it can be accessed quickly and (nearly) everyone accepts it as payment. Though there are some vendors who only accept credit cards.
CD stands for Certificate of Deposit. This is like a savings account but with a higher interest rate. The catch is that the money must be locked into the account for a certain length of time. You cannot withdraw the money unless you want to incur a penalty.
PLS HELP : D Each new triangle shown below has one more dot per side than the previous triangle. What is the total number of dots on the 200th triangle of this sequence?
Hey there!
Let's look for some patterns here.
In the first triangle, we see that there are six dots in total.
In the second triangle, there are nine dots in total.
And, for the third one, we see that there are 12 dots in total.
So, we see that it is counting up by threes because there is one more added to each side.
This is an arithmetic sequence, which means that there is a pattern of adding or subtracting from a base over and over again. There is a specific formula for calculating a certain term in a sequence and you can find proofs of it out there on the internet, but here is the formula.
To find a certain number in a sequence (in our case, 200), you
STEP 1: Take that certain number and subtract 1
200-1=199
STEP 2: You multiply this by the common difference, which is what you add or subtract to make the series. Since we keep on adding 3, our common difference is 3.
199×3=597
STEP 3: You add the first term in the series. In our case, this is the number of dots on the first triangle, which is six.
597+6=603
Therefore, the total number of dots on the 200th triangle of this sequence is 603 dots.
Now you can find a certain term in an arithmetic sequence! Have a wonderful day! :D
In 2005 , 12.1 out of every 50 employees at a company were woman if there are 49,239 total company employees estimate the number of women
Answer:
11915.8 when rounded up to the nearest tenth
Step-by-step explanation:
When you dived 12.1 by 50 to get the percent of people that fit this category, you get .242 or 24.2% you can use this number to figure out the precentage of employees who are woman by multiplying this number into 49,239 people to figure out what precent of people are woman
Hope this helps :D
Answer:
11915.8 when rounded up to the nearest tenth
Step-by-step explanation:
Sam's total expenses last month were $1840. What was his total variable cost for last
month?
Expense
Amount
Rent
$100
Groceries and drinks
$1000
$10
Insurance premiums
Loan interest payment
Clothes
$30
$200
&
Utilities
$300
Home security fee
$200
Answer:
$1500
Step-by-step explanation:
It is given that
Rent = $100
Groceries and drinks = $1000
Insurance premiums = $10
Loan interest payment =$30
Clothes = $200
Utilities = $300
Home security fee = $200
Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.
In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.
Groceries and drinks, clothes and utilities are variable cost.
So, total variable cost for last month is
[tex]\text{Total variable cost}=\$1000+\$200+\$300=\$1500[/tex]
Therefore, total variable cost for last month is $1500.
Answer:
$1500
Step-by-step explanation:
I just took the test and got it right
Practice: Assignment, Help is appreciated! I will mark brainliest for correct answers! :)
Answer:
19:36.83 or 37 20:4.5
Step-by-step explanation:
Answer:
For #19, it would probably be around 37
For #20, it would be 4.5.
Step-by-step explanation:
For #19, the mean is 36.83333.... so a reasonable prediction would be about 37 ˚C.
For #20, the list would be in this order:
3.2, 3.9, 4.5, 4.6, 5.5, 6.5, 8.7, 9.1
So, the 3rd value is 4.5.