Answer:
Step-by-step explanation:
The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.
Answer y == 3
+7
Step-by-step explanation:
The graph of a linear relationship contains the points (1, 10) and (3, 16).
Write the equation of the line in slope-intercept fo
Step-by-step explanation:
the general slope-intercept form is
y = ax + b
a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.
b is the y-intercept - the y value when x = 0.
for the slope we see
x changes by +2 (from 1 to 3)
y changes by +6 (from 10 to 16)
so, the slope a is +6/+2 = 3
and the semi-ready equation is
y = 3x + b.
now we use one of the points in the equation to solve for b. I picked (1, 10) :
10 = 3×1 + b = 3 + b
b = 7
so, the full equation is
y = 3x + 7
Given that A =( 2 -1 3
0 1 0
3 7 5)
and B =( 2 0 1
-1 3 2
2 0 3)
show that ( A+B)^ 2
=
A^2 +2AB+B2
The formula holds true for matrices A and B.
How did we arrive at the assertion?The formula (A + B)^2 = A^2 + 2AB + B^2 holds true for all matrices A and B that are of the same size and can be added and multiplied. To prove this, we calculate the left-hand side and the right-hand side of the equation:
(A + B)^2 = (A + B)(A + B) = A^2 + AB + BA + B^2
Since AB = BA, we can simplify the equation to:
(A + B)^2 = A^2 + 2AB + B^2
So, the formula holds true for matrices A and B.
learn more about matrices: https://brainly.com/question/12661467
#SPJ1
Marcy completed a science assignment and got 16 out of 20 questions
correct. Her assignment last week had 16 out of 18 questions correct. Kai
says that since she got 16 questions correct on both assignments, she should
be given the same grade on the assignments.
What would be the best way to determine if Kai's reasoning is correct or not?
Is Kai correct or incorrect? Justify your thinking.
It has been
established that, the selling
price (S), cost price (C) and profit (P) on
each pack of facial towel produced and
sold by a firm are such that, S varies
directly as the square root of C and
inversely as the cube of P. Given that C is
to decrease by 2% and P is to increase by
1%, determine the percentage change in S,
leaving your answer to the nearest whole
number.
Based on the proportionate equation of the selling price (S), cost price (C), and profit (P), the change in S caused by decrease of C and increase of P is decrease by 4%
Based on the given information, we know that:
S ∝ √C --> S directly varies as the square root of C
S ∝ 1/P³ --> S inversely as the cube of P
We can combine both relationships to make a proportionate equation:
S = √C / P³
We know from the case that:
ΔC = - 2%
ΔP = 1%
Then:
C' = C + ΔC
C' = C + (-0.02)P
C' = 0.98C
P' = P + ΔP
P' = P + (0.01)P
P' = 1.01P
S' = √C' / P'³
S' = √(0.98C) / (1.01P)³
S' = 0.96 √C/P³
S' = 0.96S
ΔS = S' - S
ΔS = 0.96S - S
ΔS = - 4%
Learn more about Proportionate Equation here: brainly.com/question/22962960
#SPJ1
28. MP NUMBER SENSE Five friends share the cost of a dinner equally. Write an expression that represents the cost (in dollars) per person.
Answer: X divided by 5
X/5
Step-by-step explanation:
if x is the cost of the dinner each person pays x divided by 5 because there are 5 people
Simplify, then answer A, B, C, or D.
Answer:
D. 74
Step-by-step explanation:
Answer:
D=74
Step-by-step explanation:
10 + (8/2)^3
10 + 512/8
10 + 64
Answer: 74
Question 2 (Multiple Choice Worth 2 points) (08.04 LC) What is the volume of the rectangular prism? O 29 ft³ O 80 ft³ O 100 ft³ 125 ft³ = | cubic ft
HELP!!! What is the effect on the graph of f(x) = 1/x when it is transformed to g(x) = 1/x + 13?
A
The graph of the function g(x) = 1/x + 13 is a transformation of the graph of f(x) = 1/x. The transformation that has been applied is a vertical shift of 13 units upward. This means that every point on the graph of f(x) has been moved upward by 13 units along the y-axis, resulting in the new graph of g(x). In other words, the graph of g(x) will be parallel to the graph of f(x) but shifted upward by 13 units.
The expression 10,000(0.90)t represents the population of a town t years after
2000.
The population of the town decreases by blank each year.
Enter the rate of decay
Jill was remodeling her bedroom she bought 4 curtains for 37 each and comforter for 68.25. what was the total amount jill paid for the curtains and comforter?
The total amount Jill paid for the curtains and comforter is, 216.25.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
Jill was remodeling her bedroom she bought 4 curtains for 37 each and comforter for 68.25.
Now, The cost of 4 curtains = 4 × 37
= 148
And, The cost of comforter = 68.25
Thus, The total amount jill paid for the curtains and comforter is,
⇒ 148 + 68.25
⇒ 216.25
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ1
Using the pencil, plot the point
Step-by-step explanation:
x = 2 3/4
y = -1 1/4
I think this is the answer
UNDER 5 min!!!
PLS ANSWER QUICK CORRECTLY!!!! help ya girl ouu!
what is the period of the sinusoidal function? enter your answer in the box. 
Answer:
what is the period of the sinusoidal function?
4
Step-by-step explanation:
You're welcome.
What is the 5th term of the geometric sequence described by an = 5(1.5)-1?
The 5th term of the geometric sequence described by an = 5(1.5)-1 is 6.5
What is a geometric sequence?Geometric progression, which is also called geometric sequence, is defined as a sequence with non-zero numbers where all of the terms after the first is determined by multiplying the previous one by a fixed, non-zero number that is termed the common ratio.
The general formula for a geometric sequence is given as;
an = ar^n-1
From the information given, we have that the nth term of the geometric sequence is expressed with the equation;
an = 5(1.5)-1
expand the bracket
an = 7.5 - 1
Now, subtract the value, we get;
an = 6.5
Hence, the value of the term of the geometric sequence is 6.5
Learn about geometric sequence on:
https://brainly.com/question/1509142
#SPJ1
What is the solution for the system of linear equations shown in the graph? a coordinate grid with one line that passes through the points 0 comma 1 and 1 comma 2 and another line that passes through the points 0 comma 0 and 1 comma negative 3 three fourths comma negative one fourth three halves comma negative one half three halves comma negative three halves negative one fourth comma three fourths
The solution for the system of equations is negative one fourth comma three fourths.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Slope intercept form of a line is y = mx + c, where m is the slope and c is the y intercept.
Given two lines on a graph.
Let y = m₁x + c₁ and y = m₂x + c₂ are the equations of two lines.
One line passes through (0, 1) and (1, 2).
m₁ = (2 - 1) / (1 - 0) = 1
Substituting m₁ = 1 and a point (x, y) = (0, 1) in y = m₁x + c₁,
1 = c₁
Equation of one line is y = x + 1.
Other line passes through (0, 0) and (1, -3).
m₂ = (-3 - 0) / (1 - 0) = -3
Substituting m₂ = 1 and a point (x, y) = (0, 0) in y = m₂x + c₂,
0 = c₂
Equation of second line is y = -3x
Solving both the equations y = x + 1 and y = -3x,
-3x = x + 1
-4x = 1
x = -1/4
y = -3x = 3/4
Solution is (-1/4, 3/4).
Hence the solution of the system of equations is the point (-1/4, 3/4).
Learn more about Linear Equations here :
https://brainly.com/question/11897796
#SPJ1
Examine the triangle below, find mZA =
the nearest degree)
and mZC =
mZB
(round to
The sum of the angles of the triangle below are angle A = 34.91°, angle B = 86.41°, and angle C = 58.68°.
What is triangle sum theorem?According to the triangle sum theorem, a triangle's internal angles can be added up to 180 degrees. The triangle sum theorem, often referred to as the angle sum theorem of the triangle, states that the total of the measures of a triangle's internal angles in a Euclidean space adds up to 180 degrees, whether the triangle is acute, obtuse, or right.
Let a = 8, b = 14 and c = 12 for the given triangle.
Then,
cos (A) = (b² + c² − a²) / 2bc
cos (A) = (14² + 12² - 8²)/ (2)(14)(12)
cos (A) = (196 + 144 - 64)/ 336
cos (A) = 0.82
A = cos⁻¹ (0.82)
A = 34.91°
Similarly, for angle B.
Cos (B) = (c² + a² − b²)/2ca
Cos (B) = (12² + 8² - 14²)/ (2)(12)(8)
A = cos⁻¹ (0.0625)
B = 86.41°
The sum of all the angles of a triangle is 180:
A + B + C = 180°
34.91° + 86.41° + C = 180°
C = 58.68°
Hence, the sum of the angles of the triangle below are angle A = 34.91°, angle B = 86.41°, and angle C = 58.68°.
To learn more about triangle visit:
brainly.com/question/2773823
#SPJ1
THE GRAPH OF FUNCTION Y = |3X - 9| HAS ITS WEDGE AT
The vertex of the absolute value function y = |3x - 9| is at (3, 0).
Where is the wedge of the function?
The actual name is the vertex, and to find the vertex we first need to find the value of x such that the argument of the absolute value part becomes zero, then we need to solve:
3x - 9 = 0
3x = 9
x = 9/3 = 3
x = 3
Now we can evaluate the absolute value function there:
y = |3*3 - 9|
y = 0
The vertex is at (3, 0).
Learn more about absolute value functions at:
https://brainly.com/question/3381225
#SPJ1
40000=6(6)^x What is the value of X
Step-by-step explanation:
Given:
Present value =₹ 40000
Interest rate =6% per annum
Time =6 months
To find the amount we have the formula,
Amount (A)=P(1+(r/100))n
where P is present value, r is rate of interest, n is time in years
Now substituting the values in above formula we get,
∴A=40000(1+(6/4)/100) ²
⇒A=40000(1+3/200)²
⇒A=40000(203/200)²
⇒A=40000(203/200) ²
⇒A=203×203
⇒A=₹ 41209
∴ Compound interest =A–P
=41209–40000=₹ 1209
Each side of the base of a square pyramid measures 8 inches. The height of each lateral face of the pyramid is also 8 inches.
What is the surface area of the pyramid?
Enter your answer in the box.
in²
Answer:
192 in²
Step-by-step explanation:
The surface area of a square pyramid can be calculated by summing up the area of its base and four lateral faces.
The base area of the square pyramid is 8 x 8 = 64 in².
The area of each lateral face is a triangle with base 8 in and height 8 in, so its area is 1/2 x 8 x 8 = 32 in².
So the total surface area of the pyramid is 64 + 4 x 32 = 192 in².
192in²
Step-by-step explanation:
Each side of the base of a square pyramid measures 8 inches.The height of each lateral face of the pyramid is also inches.
What is the surface area of the pyramid?
192in²
Five times the difference of a number and 5.
Answer: this is like multiplying. this is way to easy.the answer is 25.
Step-by-step explanation:
the answer is 25 bc its just saying
whats 5 times 5 which the answer is 25 right ?
which could be the name of a plane
Answer:
M
Step-by-step explanation:
Mrs. Mortlock uses a calculator program to select students at random to answer questions during class. Each of the 28 students in her class is equally likely to be chosen every time she runs the program. Suppose Mrs. Mortlock runs the program for five different questions.
The different ways can the program select which students will answer the five questions will be 1,72,10,368.
What are permutation and combination?A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
Given, Mrs. Mortlock uses a calculator program to select students at random to answer questions during class. Each of the 28 students in her class is equally likely to be chosen every time she runs the program.
Multiplication counting principle: If the first event could occur in m ways and the second event could occur in n ways, then the number of ways that the two events could occur in the sequence is m⋅n.
There are 28 students, and each of the 28 students is equally likely to be selected to answer each question among 5 questions.
First question: 28 ways
Second question: 28 ways
Third question: 28 ways
Fourth question: 28 ways
Fifth question: 28 ways
Use the multiplication counting principle.
Thus,
Combination = 28^5
Combination = 1,72,10,368
Therefore, The different ways can the program select which students will answer the five questions will be 1,72,10,368.
Learn more about Permutation and combination here:
https://brainly.com/question/15268220
#SPJ1
express in simplest radical form √112
n. Compare the net earnings (money made after expenses) for the three
movies
Answer:
[tex]x2 + 4x + 4 = 0 [/tex]
Please all parts of this question:
The result of the definite integral by substitution is 214440.6.
How to apply substitution on definite integrals
In this problem we find the case of a definite integral, that is, an integral with definite limits, that must be simplified by algebraic substitution to be solved quicker. First, write the substitution formula and its derivative:
u = 6 · x - 7
du = 6 dx
f(u) = u⁴
Second, define the new limits of the definite integral:
a = 6 · 2 - 7
a = 5
b = 6 · 5 - 7
b = 23
Third, simplify the integral by means of the substitution formula:
[tex]\frac {1}{6}\int\limits^{23}_{5} {u^{4}} \, du[/tex]
Fourth, integrate the expression:
[tex]I = \frac{1}{30} \cdot u^{5}\left|_{5}^{23}[/tex]
I = (1 / 30) · (23⁵ - 5⁵)
I = 214440.6
To learn more on definite integrals: https://brainly.com/question/30230486
#SPJ1
It took kelly 2 4/7 hours to fly from City A to City B then it took her another 3 5/6 hours to fly from City B to City C. Kelly flew a total of ____ hours.
Kelly flew a total of [tex]6\frac{17}{42}[/tex] hours..
What is Fraction?A fraction represents a part of a whole.
Given that Kelly took 2 4/7 hours to fly from City A to City B
Again Kelly took another 3 5/6 hours to fly from City B to City C.
We have to find the total time taken by Kelly to fly from City A to city B
To find this we have to add the fractions.
[tex]2\frac{4}{7} +3\frac{5}{6}[/tex]
Convert mixed fractions to proper fraction and solve.
18/7 + 23/6
The LCM of 7 and 6 is 42
108+161/42
269/42
[tex]6\frac{17}{42}[/tex]
Hence, Kelly flew a total of [tex]6\frac{17}{42}[/tex] hours.
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ1
a potter mixes 6 pounds of pottery plaster with 2quarts of water. Select all the statements that are true.
All the correct statements are,
a) 3 lb plaster / 1 qt water is a unit rate for the mis.
c) Using the same rate, the potter mixes 9 pounds of plaster with 3 quarts of water.
e) Using the same rate, the potter mixes 12 pounds of plaster with 4 quarts of water.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
A potter mixes 6 pounds of pottery plaster with 2quarts of water.
Now, We get;
The unit rate for the mis = 6/2
= 3/1
Thus, 3 lb plaster / 1 qt water is a unit rate for the mis.
And, Using the same rate, the potter mixes 9 pounds of plaster with 3 quarts of water.
Using the same rate, the potter mixes 12 pounds of plaster with 4 quarts of water.
Thus, All the correct statements are,
a) 3 lb plaster / 1 qt water is a unit rate for the mis.
c) Using the same rate, the potter mixes 9 pounds of plaster with 3 quarts of water.
e) Using the same rate, the potter mixes 12 pounds of plaster with 4 quarts of water.
Learn more about the ratio visit:
https://brainly.com/question/12024093
#SPJ1
The complete question is shown in figure.
How much would you need to deposit in an account each month in order to have $30,000 in the account in 6 years? Assume the account earns 2% interest.
Answer:
30,000 ÷6=
5,000 a month
Which equation is an equation of a circle with a radius of 4 and its center is at (3, -2)?
Responses
A) (x + 3)² + (y - 2)² = 4
B) (x + 3)² + (y - 2)² = 16
C) (x + 3)² + (y - 2)² = 16
D) (x + 3)² + (y - 2)² = 16
The equation of the circle can be written as:
(x - 3)^2 + (y + 2)^2 = 16
Which is the equation of the circle?We know that for a circle of radius R and the center is (a, b) can be written as:
(x - a)^2 + (y - b)^2 = R^2
Here we want to find the equation for a circle of radius of 4 units and a center at (3, -2), then the equation is:
(x - 3)^2 + (y -( - 2))^2 = 4^2
Now we can simplify that equation to get:
(x - 3)^2 + (y + 2)^2 = 16
Learn more about circle equations at:
https://brainly.com/question/1559324
#SPJ1
∠A and ∠B are complemntry angles. If m∠A = (3x+18) and m∠B = (2x+17) then find the measure of ∠A
Work Shown:
Complementary angles add to 90 degrees.
A+B = 90
(3x+18)+(2x+17) = 90
5x+35 = 90
5x = 90-35
5x = 55
x = 55/5
x = 11
Then we can determine each angle:
angle A = 3x+18 = 3*11+18 = 33+18 = 51 degrees is the final answerangle B = 2x+17 = 2*11+17 = 22+17 = 39 degreesAs a check: A+B = 51+39 = 90 to confirm the answer.
Your asking how to count by 2's
2,4,6,8,10,12,14,16,18,20,22,24,26,28,30
I hope this helps if u need more help than ill do any number skip counts.
BYEEE!!!!
The sequence 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30 has 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 of 2's
What is Number system?A number system is defined as a system of writing to express numbers.
The concept on skip counting by 2’s or twos is an essential skill to get the idea when we progress to learn the concept on counting to basic addition.
2=2×1
4=2×2=2 times
6=2×3=3 times
10=2×5=5 times
12=2×6= 6 times
14=2×7=7 times
16=2×8=8 times
18=2×9=9 times
20=2×10= 10 times
22=2×11=11 times
24=2×12=12 times
26=2×13=13 times
28=2×14=14 times
30=2×15=15 times
Hence, the sequence 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30 has 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 of 2's.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ1
Which inequality is true when the value of g is -7
The inequality nature is discussed below.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a inequality.
Assume the inequality to be -
ax + b > g
Now, if for the value of g = - 7, the expression - (ax + b) is greater than g {for any specific value of x} then the inequality is said to be true.
Therefore, the inequality nature is discussed above.
To solve more questions on algebraic expressions, visit the link below-
brainly.com/question/1041084
#SPJ1
Answer:
Step-by-step explanation:
...........