Answer:
c. supplementary angles
Step-by-step explanation:
1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line. Work for Point 1 Work for Point 2 Work for Point 3 Work for Point 4
Answer:
We have the equation:
3x - 5y = 15
a) We want to create a table with at least 4 points.
To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.
5y = 3x - 15
y = (3/5)*x - 3.
Then we have a linear equation.
Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.
x = 0.
y = (3/5)*0 - 3
y = -3
Then we have the point (0, -3).
x = 1.
y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5
y = -12/5
Then we have the point (1, -12/5)
x = 5
y = (3/5)*5 - 3 = 3 - 3 = 0
y = 0
then we have the point (5, 0)
x = 10
y = (3/5)*10 - 3 = 6 - 3 = 3
y = 3
Then we have the point (10, 3).
Now we can create the table
[tex]\left[\begin{array}{ccc}x&y\\0&-3\\1&-12/5\\5&0\\10&3\end{array}\right][/tex]
Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.
The population of New Town is increasing by 6% a year.
If the population was 19613 on January 1st, 2000, what was it on January 1st, 2020?
Give your answer to the nearest 100 people.
Answer:
After population (A) = 62,902 (Approx)
Step-by-step explanation:
Given:
Current population (P) = 19613
Number of years (n) = 2020 - 2000 = 20 year
Rate of growth (r) = 6% = 0.06
Find:
After population (A)
Computation:
[tex]After\ population (A) = Current\ population (P)[1+r]^n \\\\After\ population (A) = 19613[1+0.06]^{20} \\\\After\ population (A) = 19613[1.06]^{20} \\\\After\ population (A) = 62,901.548[/tex]
Two shooters, Rodney and Philip, practice at a shooting range. They fire 100 rounds each at separate targets. The targets are marked with circles and each bullet hitting a particular circle gets them a particular number of points. 60 rounds are selected at random. The sample mean scores of Rodney and Philip are 8 and 10, respectively. And, their variances are 0.25 and 0.50, respectively The standard error of the difference between their mean scores is ______________ (Round your answer to two decimal places.) The 95% confidence interval for the difference between the mean scores Rodney and Philip is ________ _____________: (Enter a minus sign if your answer is negative. Round your answer to two decimal places.)
Answer:
A) SE = 0.1118
B) 95% Confidence interval is;
-2.22 < μ1 - μ2 < -1.78
Step-by-step explanation:
We are given;
Sample size; n = 60
Sample mean 1; x1 = 8
Sample mean 2; x2 = 10
Variance 1; v1 = 0.25
Variance 2; V2 = 0.5
Now,
Standard deviation is given by the formula ;
σ = √variance
Thus;
σ1 = √0.25
σ1 = 0.5
σ2 = √0.5
σ2 = 0.7071
Formula for standard error of mean is;
SE = σ/√n
Thus;
SE1 = 0.5/√60
SE1 = 0.06455
SE2 = 0.7071/√60
SE2 = 0.0913
The standard error of the difference between their mean scores would be;
SE = √[(SE1)² + (SE2)²]
SE = √(0.06455² + 0.0913²)
SE = 0.1118
Formula for 95% confidence interval is;
(x1 - x2) - ((Z_α/2) × SE) < μ1 - μ2 < (x1 - x2) + ((Z_α/2) × SE)
Where Z_α/2 is the critical value. At confidence interval of 95%, we have a critical value of 1.96 from tables.
Thus, plugging in the relevant values, we have;
(8 - 10) - (1.96 × 0.1118) < μ1 - μ2 < (8 - 10) + (1.96 × 0.1118)
-2.22 < μ1 - μ2 < -1.78
Which graph represent proportional relationship?
Answer:
C
Step-by-step explanation:
Non proportional graphs are non-linear and don’t go (necessarily) through 0,0
Proportional graphs are linear and always (eventually) cross through with 0,0
I need help please
Olga has $40 in her wallet. She has one more $5 bill than $10 bills, and two more $1 bills than $5 bills. If Olga has only three types of bills, how many bills of each denomination does she have?
Answer:
Number of $10 bills = 2
Number of $5 bills = 3
Number of $1 bills = 5
Step-by-step explanation:
Given:
Total amount = $40
Number of $10 bills = x
Number of $5 bills = x + 1
Number of $1 bills = x + 1 + 2 = x + 3
Find:
Number of each bills
Computation:
10(x) + 5(x+1) + 1(x+3) = 40
10x + 5x + 5 + x + 3 = 40
16x = 32
x = 2
Number of $10 bills = x = 2
Number of $5 bills = x + 1 = 3
Number of $1 bills = x + 3 = 5
Answer:
# of $10 bills = 2
# of $5 bills = 3
# of $1 bills = 5
Step-by-step explanation:
4. Gabby ate 25 % of a whole pepperoni pizza.
Lebron ate 1/8 of the pizza.
What fraction of the pizza was left for Mohamed to eat?
Answer:
There is 5/8 left for Mohamed to eat.
Step-by-step explanation:
Let's put everything into fractions of 1/8. knowing that 25% is 1/4 or 2/8, 1/8 + 2/8= 3/8. and to find the answer, you need to subtract 3/8 from 8/8 or 1.
As a result, 5/8.
1/8 = 12.5%
12.5% + 25% = 37.5%
We need to know how much is left.
37.5% is gone, so 100% - 37.5% = 62.5%
62.5% is left for Mohamed to eat.
62.5% = 5/8.
5/8 of a pizza is left for mohamed to eat.
In a group of 80 people, 50 can speak Nepali, 45 can speak English and 7 of them do not
speak both languages.
a) Find the number of people who speak both languages.
b) Also illustrate the above information in Venn diagram.
Answer:
Universal set is 80
Number of people that speak Nepali is 50
Number of people that speak English is 45
Number of people that do not speak both is 7
a. Number of people that speak both languages is 22
b. As above
Step-by-step explanation:
a. Let make number of people that speak both languages x
To get x
(50-x) + (45-x) + x + 7 = 80
(50-x) + (45-x) + x = 80 - 7
(50-x) + (45-x) + x = 73
Open bracket
50-x+45-x+x= 73
50+45-2x+x = 73
95 - x = 73
-x = 73 - 95
-x = -22
x = 22
Therefore, number of people that speak both languages is 22
b. To get venn diagram
Number of people that speak Nepali is 50 - 22 = 28
Number of people that speak English is 45 - 22 = 23
Therefore, total = 28+23+22+7 = 80
The answer is 118 as well right??
Answer: 118 is the correct degree
Step-by-step explanation:
Increased by 175%, the number of 24 becomes what?
Answer:
66
Step-by-step explanation:
increase the number by 175% of its value.
percentage increase = 175% × 24
new value =
24 + percentage increase =
24 + (175% × 24) =
24 + 175% × 24 =
(1 + 175%) × 24 =
(100% + 175%) × 24 =
275% × 24 =
275 ÷ 100 × 24 =
275 × 24 ÷ 100 =
6,600 ÷ 100 =
66
Convert 6 feet to meters.
Conversion table:
1 meter = 3.281 feet
Answer:
6 feet = 1.8288 meters
Step-by-step explanation:
Hope this helps and have a phenominal day!
The average of 4,-8,6,14,-3 is
Answer: The average is 2.6
Step-by-step explanation:
The average is the same as the mean so to find the mean of the numbers add them up and divide it by the number of values.
(4) + (-8) + (6) + ( 14) + (-3) = 13
13/5 = 2.6
Please help guys this has to be do in 10:00 please help
Answer:
1)14oz
2)28oz
Step-by-step explanation:
1) To find the amount of water is left in the bottle you want to substract 1/3 so the first thing you want to do is find what 1/3 of 42 is. So do this: (This is also 42/3)
42*1/3=14
So we now know that 14 is 1/3 of 45 which is the first answer. To find the second answer you want to substract 14 from 42 which is 28.
So that means she has 28 oz of water left when she gets there.
write in standard form -4 + y +2x = 0
Answer:
the answer is 2x+y=4
Step-by-step explanation:
2x+y=4
Answer:
y = -2x + 4
Step-by-step explanation:
The selling price of a car is $11,000. Each year, it loses 17% of its value.Find the exponential function that gives the value of the car t years after its purchase. Write your answer in the form f(t)=a(b)t.
Answer:
The answer is "[tex]\bold{11000(0.83)^t}[/tex]".
Step-by-step explanation:
[tex]\bold{ \text{selling price}} = \$ 11,000 \\\\\bold{ \text{loses}} = 17 \%[/tex]
[tex]\bold{\to f(t)= c (1-r)^t} \\\\[/tex]
[tex]=11,000 (1- 0.17)^t\\\\=11,000(0.83 )^t[/tex]
Lines E, F, and G are parallel lines cut by transversal H as shown below. What is the value of
a+b+c+d?
Answer:
okay now i get it its not easy at first but look at it for a bit and yoll get it
Express the number 7,980 in scientific notation.
Answer:
7.98x10^3
Step-by-step explanation:
10^3=1000
Answer:7.980 × 10^3
Step-by-step explanation:
At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C , to the number of gallons of gas purchased, g.
Answer:
C = 2.75g
Step-by-step explanation:
The total cost of the gas purchased is the product of the price per gallon and the number of gallons.
Hope this helps. :)
t> -5
can someone show step by step how to solve this equation?
Answer: The equation cannot be simplified any further.
Explanation: The variable(t) is greater than any number than negative five.
Plz mark brainliest:)
The density of a certain material is such that it weighs 5 kilograms for every 8.5 fluid
ounces of volume. Express this density in ounces per liter. Round your answer to the
nearest whole number.
Answer:
701 ounces per liter
Step-by-step explanation:
it's from delta math
The required density in ounces per liter is 140 onces per liter.
The density of a certain material is such that it weighs 5 kilograms for every 8.5 fluid ounces of volume.
To determine density in ounces per liter.
Volume is defined as the ratio of the mass of an object to its density.
As given that, t weighs 5 kilograms for every 8.5 fluid ounces of volume.
1 KG = 7.0474 ounces
5kg = 35.247
8.5 fluid of ounces = 0.251 liter
Density is given as,
= mass / volume
= 35.274 / 0.251
= 140 ounces per liter.
Thus, the required density in ounces per liter is s140 ounces per liter.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ2
Ten less than a number is twice the same number
Meaning lees 10 from 20 and multiply
Hi there!
First of all, let the unknown number be z.
Now, subtract 10:
z-10
This expression is equal to twice the same number:
z-10=2z
Solve this equation:
z-2z=10
-z=10
Divide both sides by -1 in order to get rid of the minus sign:
z=-10
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
The ratio of chocolate
chip cookies to total
cookies on a tray is 3:5.
What percent of the tray
is chocolate chip
cookies?
Answer:
The percent is 75%
Step-by-step explanation:
How can a transformed quadratic equation be used real life situation?
Answer:
Quadratic equations are actually used in everyday life, as when calculating areas, determining a product's profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.
Step-by-step explanation:
The function f(x) = 0.5x + 3 is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of people being served, x. The mathematical domain for the function is the set of real numbers.
Which statement describes the limitation for the reasonable domain compared to the mathematical domain?
The reasonable domain contains only positive real numbers.
The reasonable domain contains only positive whole numbers.
The reasonable domain contains only real numbers greater than 3.
The reasonable domain contains only rational numbers greater than 3.
Answer:The reasonable domain contains only positive whole numbers.
Step-by-step explanation: Domain is x-values. X stands for the amount of people. The amount of people can't be negative. There also can't be half a person so it has to be whole numbers. There can be less than 3 people coming.
Answer:
B on edge 2021
Step-by-step explanation:
7(10x+5-9x)=70
I rly need help on this
Answer:
x = 5
Step-by-step explanation:
1. Combine like terms
2. Multiply by 1
3. Distribute
4. Subtract 3
5 from both sides of the equation
5. Simplify
6. Divide both sides of the equation by the same term
7. Simplify
Multiply 3/5 by 10/21 Express your answer in simplest form
Answer:
2/7
Step-by-step explanation:
Answer:
3/5 * 10/21= 2/7
Find the mean of these numbers:
2,57, 38, 42,6
Answer:no
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
add all of those numbers and divide it by the value of how many numbers there are in total.
In Mrs. Munson's 9th hour science class there are 15 girls and 9 boys. Which of the
following is the ratios of girls to boys IN SIMPLEST form?
O 5:1
15:9
O 5:3
30:18
Answer:
15-9
Step-by-step explanation:
Answer:
5:3
Step-by-step explanation:
[tex]15 \div 3 = 5[/tex]
[tex]9 \div 3 = 3[/tex]
Solve and show the steps to the picture attached
Answer:
The image of point (2, 4) after transformation is (-2, 13) ⇒ D
Step-by-step explanation:
Let us revise some transformation
Translation right-left OR up-down
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) ⇒ add x-coordinate of every point by hIf the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) ⇒ subtract x-coordinate of every point by hIf the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k ⇒ add y-coordinate of every point by kIf the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k ⇒ subtract y-coordinate of every point by kA vertical stretching and a vertical compression (or shrinking)
If m > 1, the graph of y = m • f(x) is the graph of f(x) vertically stretched by factor m. ⇒ multiply every y-coordinate by mIf 0 < m < 1 (a fraction), the graph of y = m • f(x) is the graph of f(x) vertically shrunk (or compressed) by factor m ⇒ multiply every y-coordinate by mLet us use these rules to solve the question.
∵ Point (2, 4) lies on y = x²
∵ The image of y = x² is y = 3(x + 4)²+1
→ The rules of transformation is y = m(x + h)² + k
∵ m is the scale factor of a vertical stretched
∵ m = 3
→ By using the 5th rule above
∴ The y-coordinate of point (2, 4) should multiply by 3
∴ The image of the point is (2, 4 × 3) = (2, 12)
∵ h is the horizontal translation to the left
∵ h = 4
→ By using the 2nd rule above
∴ The x-coordinate of point (2, 12) should subtract by 4
∴ The image of the point is (2 - 4, 12) = (-2, 12)
∵ k is the vertical translation up
∵ k = 1
→ By using the 3rd rule above
∴ The y-coordinate of point (-2, 12) should add by 1
∴ The image of the point is (-2, 12 + 1) = (-2, 13)
∴ The image of point (2, 4) after transformation is (-2, 13)
If f(x) = 2x2 + x-1, then f(-5)
= ?
Answer:
-54
Step-by-step explanation:
(-5)^2 = -25
2(-25)+ -5 +1 =-54
Answer:
f(-5) = -2
Step-by-step explanation:
f(-5) = 2x2 + -5 -1
f(-5) = 4 - 6
f(-5) = -2