Answer:
y = 7x-17
Step-by-step explanation:
y=mx+ c
substitute the values,
-3=14+c
c=-17
y=7x-17
Solve for q
a-q=a+sx
Answer: q = -sx
Step-by-step explanation:
Find k.
60°
2√3
k
30°
Answer:
70
Step-by-step explanation:
In 2013 the population of the state of New York was approximately 19.65 million and the population of New York City was 8,406,000 in 2013 how many people in New York State did not live in New York City?
Answer: 11,244,000
Step-by-step explanation:
From the question, we are informed that In 2013 the population of New York state was approximately 19.65 million and the population of New York City was 8,406,000.
To know the number of people in New York State did not live in New York City, we subtract 8,406,000 from 19.65 million. This will be:
= 19,650,000 - 8,406,000
= 11,244,000
PLEASE HELP!! I NEED THIS ASAP
Step-by-step explanation:
look at the graph !
there is an explicit horizontal limit line at y = -1.
no such vertical line for a limit for x.
as usual for exponential functions, f(x) grows rapidly, but is still valid for all x of R.
so, D is the right answer.
when x gets more and more to the left, f(x) grows and grows strongly, and goes to infinity.
when x gets more and more to the right, f(x) gets closer and closer to -1 (but will never reach it, only at infinity ...).
Amy baby-sat from 7:30 p.m. to 11:00 p.m. If Amy was paid $15.75, how much did she earn per hour?
Answer: 5.75
Step-by-step explanation:
Ignore the half an hour that is intentional it throws you off divide 15.75 by 3 not 3.5 that’ll get you the wrong answer
Find the HCF.
Note : Take LOWEST powers of common factors whilst solving.
Thank you :)
The H.C.F of the polynomials x⁸ - y⁸, (x⁴ - y⁴)(x + y) is (x - y)(x + y)
What is H.C.F?The H.C.F - Highest Common Factor of two or more numbers is the highest of their common factors.
Given the polynomials x⁸ - y⁸, (x⁴ - y⁴)(x + y). To find their highest common factors, we proceed as follows.
Now, the polynomial x⁸ - y⁸ = (x⁴)² - (y⁴)²
= (x⁴ - y⁴)(x⁴ + y⁴) difference of two squares.
Also,
(x⁴ - y⁴) = (x²)² - (y²)²
= (x² - y²)(x² + y²) difference of two squares.
= (x² - y²)(x² + y²)
So,
x⁸ - y⁸ = (x⁴ - y⁴)(x⁴ + y⁴)
= (x² - y²)(x² + y²)(x⁴ + y⁴)
Also, (x² - y²) = (x - y)(x + y)
So, substituting this into the quation, we have that
x⁸ - y⁸ = (x² - y²)(x² + y²)(x⁴ + y⁴)
= (x - y)(x + y)(x² + y²)(x⁴ + y⁴)
Now, the polynomial
(x⁴ - y⁴)(x + y) = (x² - y²)(x² + y²)(x + y)
= (x - y)(x + y)(x² + y²)(x + y)
So, comparing the factors of x⁸ - y⁸ and (x⁴ - y⁴)(x + y), the H.C.F is (x - y)(x + y)
So, the H.C.F is (x - y)(x + y)
Learn more about H.C.F of polynomials here:
https://brainly.com/question/30196598
#SPJ1
How many extraneous solutions does the equation below have?(2m)/(2m+3)-(2m)/(2m-3)=10123
Both solutions satisfy the original equation. As a result, there are no extraneous solutions in this case.
To determine the number of extraneous solutions in the given equation, let's simplify it step by step:
Step 1: Let's find the common denominator for the two fractions on the left side of the equation. The common denominator is (2m + 3)(2m - 3).
Step 2: Apply the common denominator to both fractions:
[(2m)(2m - 3)]/[(2m + 3)(2m - 3)] - [(2m)(2m + 3)]/[(2m + 3)(2m - 3)] = 1
Step 3: Simplify the numerators:
\([4m^2 - 6m - 4m^2 - 6m]/[(2m + 3)(2m - 3)] = 1\)
[-12m]/[(2m + 3)(2m - 3)] = 1
Step 4: Cancel out common factors:
-12m = (2m + 3)(2m - 3)
\(-12m = 4m^2 - 9\)
Step 5: Rearrange the equation:
\(4m^2 + 12m - 9 = 0\)
Step 6: Solve the quadratic equation using factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:
\(m = (-b ± √(b^2 - 4ac))/(2a)\)
For our equation, a = 4, b = 12, and c = -9. Substituting these values:
m = (-(12) ± √((12)^2 - 4(4)(-9)))/(2(4))
m = (-12 ± √(144 + 144))/(8)
m = (-12 ± √288)/8
m = (-12 ± 12√2)/8
Simplifying further:
m = (-3 ± 3√2)/2
So, we have two potential solutions for m:
m = (-3 + 3√2)/2 and m = (-3 - 3√2)/2
Now we need to check if these solutions satisfy the original equation. Let's substitute these values back into the equation:
For m = (-3 + 3√2)/2:
[(2(-3 + 3√2))/(2(-3 + 3√2) + 3)] - [(2(-3 + 3√2))/(2(-3 + 3√2) - 3)] = 1
Simplifying this equation, we find that it holds true.
For m = (-3 - 3√2)/2:
[(2(-3 - 3√2))/(2(-3 - 3√2) + 3)] - [(2(-3 - 3√2))/(2(-3 - 3√2) - 3)] = 1
Simplifying this equation, we also find that it holds true.
Therefore, both solutions satisfy the original equation. As a result, there are no extraneous solutions in this case.
To know more about solutions check the below link:
https://brainly.com/question/29174899
#SPJ4
It takes Nadia 12 days to build a cubby house. If she and Vincent work together, they can finish building a cubby house in 8 days. Find the number of days, h, that it will take Vincent to build a cubby house by himself.
It will take Vincent 24 number of days to build the cubby house by himself.
Let's assume that Vincent can build the cubby house alone in h days.
From the given information, we know that Nadia takes 12 days to build the cubby house, and when Nadia and Vincent work together, they can finish it in 8 days.
We can use the concept of "work done" to solve this problem. The amount of work done is inversely proportional to the number of days taken.
Nadia's work rate is 1/12 of the cubby house per day, while the combined work rate of Nadia and Vincent is 1/8 of the cubby house per day.
When Nadia and Vincent work together, their combined work rate is the sum of their individual work rates:
1/8 = 1/12 + 1/h
To solve for h, we can rearrange the equation:
1/h = 1/8 - 1/12
1/h = (3 - 2) / 24
1/h = 1/24
Taking the reciprocal of both sides, we find:
h = 24
for more such questions on equation
https://brainly.com/question/17145398
#SPJ8
if ABC = DEC, angle B = 2x, angle C = 48°, and angle D = 74°. x=?
Answer:
37°
Step-by-step explanation:
angle B = angle D (alternate angle)
2X = 74°
X = 37°
Answer:
29
Step-by-step explanation:
right in acellus
Find the value of the smaller angle. (Hint find the value of x first)
The sum of both angles must be 180°, therefore:
(2x+24) + (4x+36) = 180°
6x + 60 = 180°
6x = 120°
x = 120/6 = 20°
Then, the smaller angle is 2*20 + 24 = 64
what's 4,1 rotated 270 clockwise?
Answer:
should be -1,4
Step-by-step explanation:
if baskets b and c are on the same indifference curve, and if preferences satisfy all four of the basic assumptions, then:
If baskets B and C are on the same indifference curve and preferences satisfy all four of the basic assumptions in economics, it means that the individual considers both baskets equally preferable and is indifferent between them.
In economics, an indifference curve represents a set of combinations of goods or baskets that provide the same level of utility or satisfaction to an individual. If baskets B and C are on the same indifference curve, it means that the individual derives the same level of satisfaction from both baskets.
The four basic assumptions in economics regarding preferences are completeness, transitivity, more is better, and diminishing marginal rate of substitution. Completeness assumes that individuals can rank any two baskets in terms of preference. Transitivity suggests that if an individual prefers basket A to B and basket B to C, then the individual also prefers basket A to C. The assumption of "more is better" implies that individuals prefer more of a good to less. Diminishing marginal rate of substitution posits that as an individual consumes more of one good, they are willing to give up less of the other good to maintain the same level of satisfaction.
Learn more about marginal rate here:
https://brainly.com/question/31262664
#SPJ11
The complete question is:
Consider the following three market baskets:
Food Clothing
A 6 3
B 8 5
C 5 8
If preferences satisfy all four of the basic assumptions:
A. A is on the same indifference curve as B.
B. B is on the same indifference curve as C.
C. A is preferred to C.
D. B is preferred to A.
E. Both A. and B. are correct.
an experiment has only two outcomes. the first has probability p to occur, the second probability p2. what is p?
Solution:
Probability of the second outcome occurring is 1-p
Explanation:
In an experiment with only two outcomes, the probabilities of both outcomes must add up to 1.
This means that if the first outcome has a probability of p, the second outcome must have a probability of 1-p.
Therefore, the equation for this situation would be: p + (1-p) = 1Solving for p, we get: p = 1 - (1-p) = 1 - 1 + p = p.
Therefore, the probability of the first outcome occurring is simply p, as given in the question.
The probability of the second outcome occurring is 1-p.
To know more about the probability refer here:
https://brainly.com/question/30034780#
#SPJ11
The probability of the first outcome, p, is equal to the total probability of all outcomes, minus the probability of the second outcome, p2. So, p = 1 - p2.
In an experiment with only two outcomes, the sum of the probabilities of the two outcomes must equal 1. This means that if the first outcome has a probability of p, the second outcome must have a probability of 1-p.
Therefore, the probability of the first outcome, p, can be found by subtracting the probability of the second outcome, p2, from 1:
p = 1 - p2
So, if you know the probability of the second outcome, you can find the probability of the first outcome by subtracting it from 1.
For example, if the probability of the second outcome is 0.3, the probability of the first outcome would be:
p = 1 - 0.3 = 0.7
So the probability of the first outcome is 0.7.
Know more about probability here:
https://brainly.com/question/13604758
#SPJ11
Multiply: 7,277x6
Please hurry!
43662 dude. .........ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
help me yo!
A bag held 2 orange marbles, 3 black marbles, and 5 pink marbles. I drew a pink marble and did not replace it. What is the probability of drawing a pink marble next?
A) 2/5
B) 4/9
C) 1/2
D) 5/9
A bag held 3 white marbles, 1 orange marble, and 2 green marbles. Anna drew a white marble and did not replace it. What is the probability of drawing a green marble next?
A.) 1/6
B.) 1/5
C.) 1/3
D.) 2/5
A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?
A.) 4/9
B.) 1/5
C.) 1/2
D.) 5/9
My locker combination has three digits. None of the digits are zero. What is the probability that the first digit of my locker combination is less than 4?
A.) 3/10
B.) 1/3
C.) 2/5
D.) 4/9
Answer:
1 is B 2 is D
Step-by-step explanation:
5+3+2=10
but since you took a pink one out its now 9 you also need to subtract 1 from the 5 since you didn't replace it
so your chances of getting a pink one are 4/9
could yu solve this in the pic
The areas meet the Pythagorean's theorem, with that we conclude that the area of square 3 is 13 square centimeters.
What is the area of the square 3?If you look at the shape between the 3 squares, you can see that we have a right triangle.
Then, by Pythagorean's theorem we can conclude that the area of square 2 plus the area of square 3 must be equal to the area of the square 1.
Then we can write:
Area 2 + Area 3 = Area 1.
We know that:
area 1 = 25 cm²
area 2 = 12 cm²
area 3 = x
then we can write:
x + 12cm² = 25cm²
x = 25cm² - 12cm² = 13cm²
So the correct option is D.
Learn more about Pythagorean's theorem at:
https://brainly.com/question/343682
#SPJ1
Find x
(Help please)
Find the distance between -2.5 and o.5 using subtraction
Answer:
-3
Step-by-step explanation:
-2.5-0.5=3.0
Answer:
3
Step-by-step explanation:
-2.5 - (-0.5) = 3
The radius of a circle is 5 m. Find its circumference in terms of pie
A recipe uses 40g of chocolate chips and 150g of flour
What is the ratio of chocolate chips to flour in its simplest form
Answer: 4:15
Step-by-step explanation:
divide both by 10
Answer:4:15
Step-by-step explanation:Im just built different tbh bro
-16.51 divided by 2.54 I need answers
Answer:
Answer: -13\2Step-by-step explanation:
-16.51
---------
2.54
-16.51
--------
2.54
1651
------
254
-13
-----
2
Answer: -13
----
2
How can unit rates and proportional reasoning be used to solve problems?
17. Evaluate the following expressions without using a calculator. Show your work or explain how you got your answer. (a) log: 1 (b) log2 + log2 V8 32 (c) In () e3.7
(a) The logarithm of 1 to any base is 0 because any number raised to the power of 0 equals 1.
(b) We simplify the expression inside the logarithm by rewriting √8 as 8^(1/2) and applying the logarithmic property of adding logarithms. Simplifying further, since 2^7 equals 128.
(c) The natural logarithm ln(x) is the inverse of the exponential function e^x. Therefore, ln(e^3.7) simply gives us the value of 3.7
(a) \(log₁ 1\): The logarithm of 1 to any base is always 0. This is because any number raised to the power of 0 is equal to 1. Therefore, log₁ 1 = 0.
(b) \(log₂ + log₂ √8 32\): First, simplify the expression inside the logarithm. √8 is equivalent to 8^(1/2), so we have:
\(log₂ + log₂ 8^(1/2) 32\)
Next, apply the logarithmic property that states \(logₐ x + logₐ y = logₐ (x * y):\)
\(log₂ (8^(1/2) * 32)\). Simplify further: log₂ (4 * 32)
log₂ 128
By applying the logarithmic property \(logₐ a^b = b:7\)
Therefore, \(log₂ + log₂ √8 32 = 7\)
(c) \(ln(e^3.7)\): The natural logarithm ln(x) is the inverse function of the exponential function e^x. Therefore, ln(e^x) simply gives us the value of x.
In this case, ln(e^3.7) will give us the value of 3.7.
Learn more about logarithm here;
https://brainly.com/question/30340014
#SPJ11
.
Please help me with these questions please.
Answer:
see image
Step-by-step explanation:
Which of the following statements must be true based on the diagram below
Answer:
i think its the 2nd and 4th
Step-by-step explanation:
Suppose α is a Quadrant II angle with sin(α ) = 3/5 and β is a Quadrant III angle with tan(β) = 3/4. Then
sin(α +β) =
cos(α +β) =
tan(α +β) =
sec(α +β) =
csc(α +β) =
cot(α +β) =
If the value doesn't exist, write "undefined"
The values are as follows:
sin(α + β) = 0
cos(α + β) = -1
tan(α + β) = 0
sec(α + β) = -1
csc(α + β) = undefined
cot(α + β) = undefined
To find the values of sin(α + β), cos(α + β), tan(α + β), sec(α + β), csc(α + β), and cot(α + β), we can use the trigonometric identities and the given information about angles α and β.
In Quadrant II, sin(α) = 3/5. This means that the opposite side of angle α is 3 and the hypotenuse is 5. By using the Pythagorean theorem, we can find the adjacent side of α, which is -4. Therefore, the coordinates of the point on the unit circle representing angle α are (-4/5, 3/5).
In Quadrant III, tan(β) = 3/4. This means that the opposite side of angle β is -3 and the adjacent side is -4. By using the Pythagorean theorem, we can find the hypotenuse of β, which is 5. Therefore, the coordinates of the point on the unit circle representing angle β are (-4/5, -3/5).
Now, let's find the sum of angles α and β. Adding the x-coordinates (-4/5) and the y-coordinates (3/5 and -3/5) of the two points, we get (-8/5, 0). This point lies on the x-axis, which means the y-coordinate is 0. Hence, sin(α + β) is 0/5, which simplifies to 0.
For cos(α + β), we use the Pythagorean identity cos²(θ) + sin²(θ) = 1. Since sin(α + β) = 0, we have cos²(α + β) = 1. Taking the square root, we get cos(α + β) = ±1. However, since the sum of angles α and β falls in Quadrant II and III, where x-values are negative, cos(α + β) = -1.
To find tan(α + β), we use the identity tan(θ) = sin(θ)/cos(θ). Since sin(α + β) = 0 and cos(α + β) = -1, we have tan(α + β) = 0/-1 = 0.
Using the reciprocal identities, we can find the values for sec(α + β), csc(α + β), and cot(α + β).
sec(α + β) = 1/cos(α + β) = 1/(-1) = -1.
Since csc(α + β) = 1/sin(α + β), and sin(α + β) = 0, csc(α + β) is undefined because division by zero is undefined. Similarly, cot(α + β) = 1/tan(α + β) = 1/0, which is also undefined.
Learn more about Values
brainly.com/question/30145972
#SPJ11
i really need help
pls i thank anyone and mark brainlest
Answer:
25h + 12
Explanation:
21h -10h + 14h + 16 -9 +5 ( group term )
25h + 12 ( simplified )
Answer:
\(25h+12\)
Step-by-step explanation:
To do this, we need to combine like terms:
\(21h-10h+14h+16-9+5\)
Combine terms that have "h" with each other.
\(11h+14h+16-9+5\)
\(25h+16-9+5\)
Now, combine the rest of the terms that don't have "h".
\(25h+7+5\)
\(25h+12\)
NEED HELP WITH THIS!
Answer: See below
Step-by-step explanation:
a.
To solve for h, we want to use algebraic properties to isolate h.
\(A=\frac{1}{2}h(b_1 +b_2)\) [multiply both sides by 2]
\(2A=h(b_1 +b_2)\) [divide both sides by b₁+b₂]
\(\frac{2A}{b_1+b_2} =h\)
\(h=\frac{2A}{b_1+b_2}\)
---------------------------------------------------------------------------------------------
b.
To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with \(\frac{2A}{h} =b_1+b_2\). To get b₂, you subtract both sides by b₁.
Answer:
h=2A/(b1+b2)
and
b2=2A/h-b1.
Translate the algebraic expression shown below into a verbal expression. X 4
Answer:
answer is D
Step-by-step explanation:
A) if sum of four and some number = x + 4
B) if product of some number and 4 = 4x
C) the different between 4 and some number = x - 4
D) if quotient of some number and 4 = x/4
∵therefore D is the answer
Supergym is a national chain of gyms. Its employees sold 41,500 gym memberships last year. This year, they sold 73% more memberships than that. How many memberships did they sell this year?
Answer:
disjeghddhuwuyegdgdhhsdd