Answers
Answer:
[tex] y = -\frac{3}{2}x + 12 [/tex]
Step-by-step explanation:
The missing numbers represent the slope/rate of change (m) and y-intercept (b) of the table of values given.
✔️Let's find slope (m) using any two given pairs of values, say (2, 9) and (4, 6):
Slope (m) = change in y/change in x
= (6 - 9)/(4 - 2)
= -3/2
m = -³/2
✔️Find b by substituting (x, y) = (2, 9), and m = -³/2 into y = mx + b
Thus,
9 = -³/2(2) + b
9 = -3 + b
9 + 3 = b
b = 12
The missing numbers are -³/2 and 12.
Which will give us:
[tex] y = -\frac{3}{2}x + 12 [/tex]
Related Questions
Find the surface area of the rectangular prism below.
Answers
Answer:
630 ft
Step-by-step explanation:
(11 * 15) * 2 = 330 ft
(5 * 15) * 4 = 300 ft
330 + 300 = 630 ft
10 points
question 5: a, b, and c.
Answers
Answer:
the First One By Adding Four
The Second One Add Five And Two
The Third Add Two And Substract Four
The angle of elevation from Nathan to a lighthouse is 74°.
If the lighthouse is 112 feet tall, how far is Nathan from the
base of the lighthouse?
Answers
Answer:
Nathan is 36.3910059 ft from the base of the lighthouse.
Step-by-step explanation:
So to find the base, you have to find the tan (both legs) of the right triangle that the lighthouse makes. The angle of Nathan to the lighthouse is 74° so to find the distances, you have to do the tan(72) = opp/adj
The opposite is 112, and we have to find the adjacent.
tan(72) = 112/adj
3.07768354 = 112/adj
adj = 112/3.07768354
adj = 36.3910059
Simplify: 9^0. I’m a bit confused so can somebody please help me? (:
Answers
Answer:
the answer is 1 because the power of any no. 0 is always 1
Select the correct difference. 5d^2 + 4d - 3 less 2d^2 - 3d + 4
Answers
Answer:
[tex]3d^2+ 7d- 7[/tex]
Step-by-step explanation:
Given
[tex]P_1 = 5d^2 + 4d - 3[/tex]
[tex]P_2 = 2d^2 - 3d + 4[/tex]
Required
P1 less P2
This means that we subtract P2 from P1.
So, we have:
[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]
Remove bracket
[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]
Collect like terms
[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]
[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]
The difference is: [tex]3d^2+ 7d- 7[/tex]
Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?
Answers
Answer:
6
Step-by-step explanation:
The fifth graders all decided to have a race afterwords Kylie was so thirsty she drank 3 pints of water Valentina was also thirsty so she drank 24 fluid ounces of water who drank more water Kylie or Valentina?
Answers
Answer:
Kylie drank more water than Valentina
Step-by-step explanation:
I know that Kylie drank more water than Valentina.
I know this because I took 3 pints and found how many fluid ounces that would equal. 1 pint is equivalent to 16 fluid ounces. So, three pints would be equal to 48 fluid ounces. 16x3=48
Valentina drank 24 fluid ounces.
48 is greater than 24, so Kylie drank more water than Valentina.
a student needs to fill a 12 gallon fish tank. The student has a container that holds 1/3 gallon of water. how many times will the student need to fill the container with water in order to fill the fish tank completely
Answers
Explanation:
12 divided by 1/3 is 36
You can trust this answer
Goodluck!
PLEASE HELP ASAP ???
Answers
Answer:
-1
Step-by-step explanation:
a percent of
Yidosol 3,3,200
are
7
boys. What percent of the class are boys?
In a class where the number of girls is 36% of the total number, there are 48
boys. How many students are there in the class?
Challenge Problems
8. The total attendance at aconcert in a theater hall was 1500, of this total 400
children, 850 were women, and the remaning were men. Find the
were
percent of the total attendance represented by:
a. Children
b. Women
c. Men
. The base is one greater than the amount. If the percentage is 93.75, then fin
the amount and the base.
10. Hiwot has Birr 46,000 in her account. If she plans to invest 26% of
saving in establishing a kindergarten, find the
int required
Answers
Answer:
aeafscgefgdderhgdthdg
Get this answer correct u get a brainleist
That is the volume of a basketball
if u look it up u dont get it
Answers
Answer:
Imma guess around 350 cubic inches
Step-by-step explanation:
I'm just going off of my hand compared to my basketball
Answer:
About 433.526 inches^3
Step-by-step explanation:
Goal: Calculate the volume of a Basketball as accurately as possible. Objective 1: Calculate the volume of a basketball.
Step One: Find the radius of the basket ball inflated at 8 PSI. To do this we used a string to measure the circumference of the basket ball arriving at a measurement of 29 inches. Next we inserted that number into the formula C = 2πR where C= circumference and R= Radius. We found that where C= 29inches, R= 4.615 inches.
Solve with Volume of a ball or sphere = 4/3*pi*radius
Angela bought 4 bottles of soda for a party. Each bottle was 2-liters. How many gallons of soda did she buy? Use 1 gallon = 3.785 liters
Answers
Answer:
no sé amigo Thu tcug
Step-by-step explanation:
v8ftuuurk
I need help solve this !! Pls help pls not links ;)
Answers
Answer:
A / D / E
Step-by-step explanation:
f (1) = 1
f(2) = 5
f(3) = 9
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
r = 4 cm
2.5 cm
3 cm
3 cm
[? ]%
Round to the nearest tenth of a percent.
PLEASE
Answers
Answer:
38.8%
Step-by-step explanation:
This is a very famous computer solution called the Monte Carlo Method. It's like throwing darts at an enlarged diagram. You will always be inside the circle.
The red triangle has an area = 1/2 h * b
The red triangle has an area = 1/2 * (2.5 + 4) * (3 + 3)
The red triangle area = 1/2 6.5 * 6
The red triangle area = 19.5
The area of the circle = pi * r^2
pi = 3.14
r = 4
The area of the circle = 3.14 * 4^2
The area of the circle = 50.24
% = (19.5/50.25) * 100
% = 38.8%
Please help I’ll mark you as brainliest if correct!
Answers
Answer:
4 feet
Step-by-step explanation:
MN/RT=MO/RS
6/3=8/RS
6RS=24
RS=24/6
RS=4
SORRY IF LATE AND WRONG!!!
You purchase a new car for $24,000. If you obtain a 5 year bank loan at 2.75% compounded monthly, what is your monthly loan payment?
Answers
Answer:
The monthly loan payment is of $458.88.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Amount owed after 5 years:
Loan of 24000 means that [tex]P = 24000[/tex]
5 years means that [tex]t = 5[/tex]
Interest rate of 2.75% means that [tex]r = 0.0275[/tex]
Compounded monthly means that [tex]n = 12[/tex]
The amount is A(5). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]
[tex]A(5) = 27533[/tex]
What is your monthly loan payment?
$27,533 in 5 years = 5*12 = 60 months. So
27533/60 = 458.88
The monthly loan payment is of $458.88.
In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form.
b. Express the ratio 20cm to 15m in the form 1: n
c. Express the ratio 60 cm to 20 m in the form 1 : n
Answers
Answer:
Yes, because Gabriel is the swimming. He was in 2nd or maybe 10th.
Answer:
Step-by-step explanation:
What is the area of this trapezoid?
Answers
Answer: 6625 sqaure yards
Step-by-step explanation:
Area for a trapezoid formula is A=(base 1 + base 2)·height÷2
So base one is 120 and base two is 10+120+15=145
and the height is 50 so (120+145)·50÷2=6625 The area for the trapezoid is 6625
In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
(a) Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.) TWO VALUES
(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam.
n = 451 x = 43.78 s = 21.96
Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam. (Round your answers to three decimal places.)
Answers
Answer:
a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.
The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
Question b:
90% confidence interval means that [tex]Z = 1.645[/tex]
The margin of error is:
[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]
43.78 - 1.701 = 41.079%
43.78 + 1.701 = 45.481%
The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
Let g(x)=3x−1 and f(x)=x2+1. Find (g◦f)(−5).
(g◦f)(−5)=nothing (Simplify your answer.)
Answers
Answer:
-384
Step-by-step explanation:
Solve for each function first.
g(-5) = 3(-5) - 1
g(-5) = -16
f(-5) = -5^2 + 1
f(-5) = -24
Multiply.
(fg)(-5) = (-16 x -24)
(fg)(-5) = -384
Not entirely sure if this is correct but this seemed the most obvious way to do it so I did it. Let me know if I'm wrong.
is 6.7 and 6.40 equal?
Answers
Answer:
no
Step-by-step explanation:
Zero is Soo's miserly number. It won't give the number four
Pay the bill using the fewest possible bills/coins
Answers
Answers:
Open the pdf below and youll find what you need. also do the largest bills you can.
Please help I’ll mark you as brainliest if correct!
Answers
Answer:
C. 27
Step-by-step explanation:
If ther are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.
so... 9*5=45
and you do the sane with the cats
9*3=27 therefore the answer is 27.
Answer:
C. 27
Step-by-step explanation:
If there are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.
so... 9*5=45
and you do the same with the cats
9*3=27 therefore the answer is 27.
Is this linear, exponential growth, exponential decay, or neither?
Answers
Answer:
exponential decay
Step-by-step explanation:
the y coordinates are getting smaller while x gets bigger so for 1x y is .5 then .25 then .125 etc..
If the outside diameter of a pipe is 1.25 ft and the inside diameter is 0.975 ft how thick is the pipe
Answers
Answer:
0.275
Step-by-step explanation:
1.25-0.975=0.275
Answer: .1375
See explanation:
1.25-0.975=.275
Now since this gives you the difference between the outside diameter and the inside diameter it actual gives you 2 times the wall thickness. So we need to divide that by 2.
.275/2=.1375
So the wall thickness of the pipe is .1375
1. Which studio charges more?
2. Raj wants to take 8 classes a month. Which studio is cheaper?
Answers
Answer:It would be the first class
Step-by-step explanation:
Because you are paying $70 per month and get a the class you want. and also i had the sames question also
just because the second class has smaller fees it also says that you have to pay more for every class.
What is the quotient of (x^3 + 8) divided by (x + 2)?
Answers
Answer:
(x^3 +8)/(x+2) = x^2 -2x +4
Step-by-step explanation:
A gym offers classes for students to attend. If both the range and median number of students attending each class was 13 students, which of the following box-and-whisker plots could represent the number of students attending the classes?
Answers
Answer:
3
one
will represent
the student
The sum of −7 times a number and 8 times the sum of the number and 1 is the same as the number minus 7.
Answers
Answer:
n has no value.
There is no solution to this equation
Step-by-step explanation:
let n be the number
In pieces:
sum of the number and 1: (n + 1)
8 times the sum: 8(n + 1)
-7 times a number: -7n
sum of -7 times and...: -7n + 8(n + 1)
number minus 7: n - 7
the same as: =
All together:
-7n + 8(n + 1) = n - 7
-7n + 8(n+1)=n-7
-7n + 8n+8=n-7
0=-15
Two numbers total 58 and have a difference of 8 . Find the two numbers.
Answers
Answer:
x = 33 , y = 25
Here's your solution
=> let both number be x and y
=> so, x + y = 58
=> x - y = 8
=> solving both equation { add both }
=> 2x = 66
=> x = 33
=> now putting value of x in equation
=> 33 + y = 58
=> y = 58 - 33
=> y = 25
hope it helps